diff --git a/src/exports.jl b/src/exports.jl index 410adc1c187d..c06a152c30c9 100644 --- a/src/exports.jl +++ b/src/exports.jl @@ -1,13 +1,8 @@ export * -export @check -export @pbw_relations -export @perm -export @permutation_group -export @tropical -export ANTIC +export abelian_group export AbsAffineAlgebraicSet -export AbsAffineRationalPoint export AbsAffineCurve +export AbsAffineRationalPoint export AbsAffineVariety export AbsCoveredCurve export AbsCoveredScheme @@ -19,6 +14,7 @@ export AbsLocalizedRing export AbsLocalizedRingElem export AbsLocalizedRingHom export AbsMultSet +export absolute_primary_decomposition export AbsProjectiveAlgebraicSet export AbsProjectiveCurve export AbsProjectiveScheme @@ -26,170 +22,6 @@ export AbsProjectiveVariety export AbsSpec export AbsSpecMor export AbstractAlgebra -export AffineAlgebraicSet -export AffineHalfspace -export AffineHyperplane -export AffineNormalToricVariety -export AffineVariety -export affine_halfspace -export affine_hyperplane -export affine_normal_toric_variety -export algebraic_set -export AutomorphismGroup -export AutomorphismGroupElem -export BorcherdsCtx -export BettiTable -export ClosedEmbedding -export ClosedSubvarietyOfToricVariety -export CohomologyClass -export Cone -export CoveredScheme -export CoveredSchemeMorphism -export Covering -export CoveringMorphism -export CyclicQuotientSingularity -export DirectProductGroup -export Directed -export DivisorOnTropicalCurve -export Edge -export EmptyScheme -export FPGroup -export FPGroupElem -export FreeMod -export FreeModElem -export FreeModElem_dec -export FreeMod_dec -export FreeModuleHom -export FreeModuleHom_dec -export FreeResolution -export GAP -export GAPGroupConjClass -export GAPGroupElem -export GAPGroupHomomorphism -export GL -export GO -export GSet -export GU -export Glueing -export Graph -export Graphs -export GroupConjClass -export GroupCoset -export GroupDoubleCoset -export Halfspace -export halfspace -export Hecke -export HilbertData -export Hyperplane -export hyperplane -export IncidenceMatrix -export K3Chamber -export K3_surface_automorphism_group -export LazyPoly -export LazyPolyRing -export LinearHalfspace -export LinearHyperplane -export LinearProgram, linear_program -export linear_halfspace -export linear_hyperplane -export Localization -export MPolyComplementOfKPointIdeal -export MPolyComplementOfPrimeIdeal -export MPolyDecRing -export MPolyDecRingElem -export MPolyIdeal -export MPolyLeadingMonOne -export MPolyLocRing -export MPolyLocRingElem -export MPolyLocalizedIdeal -export MPolyLocalizedRingHom -export MPolyPowersOfElement -export MPolyProductOfMultSets -export MPolyQuoIdeal -export MPolyQuoLocRing -export MPolyQuoLocRingElem -export MPolyQuoLocalizedIdeal -export MPolyQuoLocalizedRingHom -export MPolyQuoRing -export MPolyQuoRingElem -export MPolyRingElem -export MPolyRingElemLoc -export MatrixGroup -export MatrixGroupElem -export Matroid -export MixedIntegerLinearProgram, mixed_integer_linear_program -export ModuleFP -export ModuleFPElem -export ModuleFPHom -export ModuleOrdering -export MonomialOrdering -export Nemo -export NormalToricVariety -export OO -export OSCAR -export OpenInclusion -export PBWAlgElem -export PBWAlgQuo -export PBWAlgQuoElem -export PBWAlgRing -export PcGroup -export PcGroupElem -export PermGroup -export PermGroupElem -export PointVector -export PolyhedralComplex, polyhedral_complex -export PolyhedralFan, polyhedral_fan -export Polyhedron -export Polymake -export PrincipalOpenSubset -export ProjectiveScheme -export ProjectiveSchemeMor -export ProjectiveVariety -export ProjectiveAlgebraicSet -export QQ -export RationalEquivalenceClass -export RayVector -export SL -export SLPoly -export SLPolyRing -export SO -export SU -export Scheme -export SchemeMor -export SemidirectProductGroup -export SesquilinearForm -export SimpleGlueing -export SimplicialComplex -export Singular -export Sp -export Spec -export SpecMor -export SpecOpen -export SpecOpenMor -export SpecOpenRing -export SpecOpenRingElem -export StdSpec -export SubObjectIterator -export SubQuoHom -export SubdivisionOfPoints, subdivision_of_points -export SubquoModule -export SubquoModuleElem -export ToricDivisor -export ToricDivisorClass -export ToricLineBundle -export ToricMorphism -export ToricVanishingSet -export TropicalCurve -export TropicalHypersurface -export TropicalLinearSpace -export TropicalSemiring -export TropicalSemiringMap -export TropicalVariety -export Undirected -export WreathProductGroup -export ZZ -export abelian_group -export absolute_primary_decomposition export acting_domain export acting_group export acting_subgroup @@ -201,30 +33,39 @@ export add_vertex! export add_vertices! export adjacent_chamber export affine_algebra +export AffineAlgebraicSet export affine_charts export affine_cone export affine_equation_matrix export affine_geometry +export affine_halfspace +export AffineHalfspace export affine_hull +export affine_hyperplane +export AffineHyperplane export affine_inequality_matrix export affine_normal_toric_variety +export affine_normal_toric_variety +export AffineNormalToricVariety export affine_open_covering export affine_patch export affine_patches export affine_space +export AffineVariety export alexander_dual +export algebraic_set export all_atlas_group_infos export all_blocks export all_character_table_names export all_cohomologies export all_neighbors +export allow_unicode export all_patches export all_primitive_groups export all_small_groups export all_subsets_matroid export all_transitive_groups export all_triangulations -export allow_unicode export alternating_form export alternating_group export ambient_coordinate_ring @@ -240,11 +81,13 @@ export ambient_scheme export ambient_space export ambient_type export anchor_point -export anti_symmetric_parts +export ANTIC export anticanonical_bundle export anticanonical_divisor export anticanonical_divisor_class +export anti_symmetric_parts export archimedean_solid +export as_dictionary export as_gset export as_perm_group export as_polycyclic_group @@ -255,13 +98,15 @@ export atlas_subgroup export augmented_chow_ring export aut export automorphism_group +export AutomorphismGroup +export AutomorphismGroupElem export base_curve export base_ring export base_ring_elem_type export base_ring_module export base_ring_type -export base_scheme export bases +export base_scheme export basic_patches export basis_of_global_sections export basis_of_global_sections_via_homogeneous_component @@ -271,6 +116,7 @@ export betti export betti_number export betti_numbers export betti_table +export BettiTable export billera_lee_polytope export binomial_exponents_to_ideal export binomial_primary_decomposition @@ -278,6 +124,7 @@ export bipyramid export birkhoff_polytope export blocks export bond_matroid +export BorcherdsCtx export borcherds_method export boundary_lattice_points export bring_to_common_denominator @@ -303,12 +150,13 @@ export chain_complex export chain_range export chamber export character_field +export characteristic_subgroups, has_characteristic_subgroups, set_characteristic_subgroups export character_lattice export character_parameters export character_table export character_to_rational_function -export characteristic_subgroups, has_characteristic_subgroups, set_characteristic_subgroups export charpoly +export @check export chip_firing_move export chow_ring export circuits @@ -321,12 +169,10 @@ export class_positions_of_center export class_positions_of_derived_subgroup export class_positions_of_kernel export class_positions_of_pcore -<<<<<<< HEAD export class_positions_of_solvable_residuum export ClosedEmbedding -======= ->>>>>>> 2931c6bc03 (fix ordering of export list) export closed_subvariety_of_toric_variety +export ClosedSubvarietyOfToricVariety export closure export cm_regularity export cobases @@ -343,6 +189,7 @@ export coefficients export coefficients_and_exponents export cohomology export cohomology_class +export CohomologyClass export cohomology_index export cohomology_ring export cohyperplanes @@ -370,6 +217,7 @@ export components export compose export composition_series export cone +export Cone export cone_from_equations export cone_from_inequalities export cones @@ -400,8 +248,12 @@ export corresponding_bilinear_form export corresponding_quadratic_form export covered_projection_to_base export covered_scheme +export CoveredScheme export covered_scheme_morphism +export CoveredSchemeMorphism +export Covering export covering_morphism +export CoveringMorphism export coverings export cox_ring export cox_variety @@ -416,6 +268,7 @@ export cyclic_generator export cyclic_group export cyclic_polytope export cyclic_quotient_singularity +export CyclicQuotientSingularity export data export decide_du_val_singularity export decomposition_matrix @@ -430,9 +283,9 @@ export degrees_of_generators export degrevlex export dehomogenization export dehomogenization_map +export deletion export del_pezzo_polytope export del_pezzo_surface -export deletion export demazure_character export denest export denominator @@ -445,24 +298,26 @@ export describe export desimulate_valuation export det export diameter -export as_dictionary export dihedral_group export dim export dim_of_torusfactor +export Directed export direct_product +export DirectProductGroup export direct_sum export direct_sum_components export disjoint_union -export div_left -export div_left! -export div_right -export div_right! export divexact export divides export divisor_class export divisor_of_character +export DivisorOnTropicalCurve export divisor_sigma +export div_left +export div_left! export divrem +export div_right +export div_right! export dodecahedron export domain export domain_covering @@ -473,20 +328,22 @@ export double_dual export dst export dual_cone export dual_continued_fraction_hirzebruch_jung +export dualgraph export dual_matroid export dual_subdivision -export dualgraph +export Edge export edgegraph export edges export ehrhart_polynomial -export element_to_homomorphism export elementary_symmetric export elements +export element_to_homomorphism export eliminate export embedding export embedding_orthogonal_group export empty_covered_scheme export empty_covering +export EmptyScheme export epimorphism_from_free_group export equidimensional_decomposition_radical export equidimensional_decomposition_weak @@ -494,20 +351,19 @@ export equidimensional_hull export equidimensional_hull_radical export euler_characteristic export euler_phi +export expand export exponent, has_exponent, set_exponent export exponents export ext export extension_field export exterior_power -export expand -export f_vector export face_fan export faces export facet_indices export facet_points export facets -export factor_of_direct_product export factorisations +export factor_of_direct_product export fan export fano_matroid export fano_simplex @@ -530,32 +386,45 @@ export fixed_field export flats export forget_decoration export forget_grading +export FPGroup +export FPGroupElem export fraction -export fraction_field export fractional_cut_polytope export fractional_ideal export fractional_matching_polytope +export fraction_field export frattini_subgroup, has_frattini_subgroup, set_frattini_subgroup export free_abelian_group export free_extension export free_group +export FreeMod +export FreeMod_dec +export FreeModElem +export FreeModElem_dec export free_module export free_module_dec +export FreeModuleHom +export FreeModuleHom_dec export free_resolution +export FreeResolution export free_resolution_via_kernels export fundamental_circuit export fundamental_cocircuit export fundamental_group export fundamental_invariants -export g_vector +export f_vector export galois_group export galois_ideal export galois_quotient +export GAP +export GAPGroupConjClass +export GAPGroupElem +export GAPGroupHomomorphism export gelfand_tsetlin_polytope export gen -export general_linear_group export generalized_jordan_block export generalized_jordan_form +export general_linear_group export generating_system export generator_matrix export generic_fraction @@ -565,6 +434,8 @@ export gens_of_rational_equivalence_classes export geometric_irreducible_components export girth export gkz_vector +export GL +export Glueing export glueing_domains export glueing_graph export glueing_morphisms @@ -579,7 +450,9 @@ export graded_polynomial_ring export grading export grading_group export graph +export Graph export graph_from_adjacency_matrix +export Graphs export grassmann_pluecker_ideal export grid_morphism export groebner_basis @@ -590,9 +463,15 @@ export groebner_basis_with_transformation_matrix export groebner_fan export groebner_polyhedron export group +export GroupConjClass +export GroupCoset +export GroupDoubleCoset export gset -export h_star_polynomial -export h_vector +export GSet +export GU +export g_vector +export halfspace +export Halfspace export halfspace_matrix_pair export hall_subgroup export hall_subgroup_reps @@ -601,12 +480,13 @@ export has_du_val_singularities export has_edge export has_nonempty_intersection export has_perfect_groups +export haspreimage export has_primitive_groups export has_small_groups export has_torusfactor export has_transitive_groups export has_vertex -export haspreimage +export Hecke export height export helper_eta export helper_ideal @@ -615,6 +495,7 @@ export helper_kappa export helper_ring export hermitian_form export hilbert_basis +export HilbertData export hilbert_function export hilbert_polynomial export hilbert_series @@ -622,9 +503,6 @@ export hilbert_series_expanded export hilbert_series_reduced export hirzebruch_surface export hom -export hom_product -export hom_tensor -export hom_without_reversing_direction export homogeneity_space export homogeneity_vector export homogeneous_component @@ -638,30 +516,38 @@ export homology export homomorphism_of_semidirect_product export homomorphism_of_wreath_product export homomorphism_to_element +export hom_product +export hom_tensor +export hom_without_reversing_direction +export h_star_polynomial +export h_vector +export hyperplane +export Hyperplane export hyperplanes export hypersurface_complement export icosahedron -export id_hom export ideal export ideal_membership export ideal_of_linear_relations export ideal_type export identifier export identity_map +export id_hom export image export image_ideal export image_in_Oq export images export img_gens export incidence_matrix +export IncidenceMatrix export inclusion_morphism export independent_sets export index export index_of_gen export index_of_leading_term export indicator -export induced_automorphism export induce +export induced_automorphism export induced_cyclic export induced_ring_ordering export induce_shift @@ -691,8 +577,8 @@ export inverse export invert export inverted_set export irreducible_components -export irreducible_secondary_invariants export irreducibles +export irreducible_secondary_invariants export irrelevant_ideal export is_abelian, has_is_abelian, set_is_abelian export is_admissible_ordering @@ -739,15 +625,16 @@ export is_faithful export is_fano export is_feasible export is_finalized +export isfinite export is_finite, has_is_finite, set_is_finite export is_finitelygenerated, has_is_finitelygenerated, set_is_finitelygenerated export is_finiteorder export is_flat +export is_fulldimensional export is_full_direct_product export is_full_fp_group export is_full_semidirect_product export is_full_wreath_product -export is_fulldimensional export is_geometrically_integral export is_geometrically_reduced export is_global @@ -785,14 +672,18 @@ export is_nef export is_nilpotent, has_is_nilpotent, set_is_nilpotent export is_non_zero_divisor export is_normal -export is_normal_subgroup export is_normalized_by +export is_normal_subgroup +export isometry_group +export isomorphic_matroid +export isomorphism export is_one +export isone export is_open_embedding export is_orbifold export is_perfect, has_is_perfect, set_is_perfect -export is_pgroup_with_prime export is_pgroup, has_is_pgroup, set_is_pgroup +export is_pgroup_with_prime export is_pointed export is_positively_graded export is_primary @@ -805,6 +696,7 @@ export is_projective_space export is_pure export is_q_cartier export is_q_gorenstein +export isqrtrem export is_quasisimple, has_is_quasisimple, set_is_quasisimple export is_quaternion_group, has_is_quaternion_group, set_is_quaternion_group export is_radical @@ -825,6 +717,7 @@ export is_standard_basis export is_standard_graded export is_strongly_connected export is_subset +export issubset export is_supersolvable, has_is_supersolvable, set_is_supersolvable export is_surjective export is_ternary @@ -840,22 +733,16 @@ export is_very_ample export is_weakly_connected export is_welldefined export is_zero +export iszero export is_z_graded export is_zm_graded -export isfinite -export isometry_group -export isomorphic_matroid -export isomorphism -export isone -export isqrtrem -export issubset -export iszero export iterate_basis export jacobi_ideal export jacobi_matrix export jacobi_symbol export johnson_solid -export k_skeleton +export K3Chamber +export K3_surface_automorphism_group export katsura export kernel export klein_bottle @@ -863,9 +750,12 @@ export known_class_fusion export koszul_complex export koszul_homology export koszul_matrix +export k_skeleton export labelled_matrix_formatted export lattice_points export lattice_volume +export LazyPoly +export LazyPolyRing export leading_coefficient export leading_coefficient_and_exponent export leading_exponent @@ -882,24 +772,30 @@ export length export letters export lex export lift -export lift_homomorphism_contravariant -export lift_homomorphism_covariant export lifted_denominator export lifted_numerator +export lift_homomorphism_contravariant +export lift_homomorphism_covariant export lineality_dim export lineality_space export linear_equation_matrix +export linear_halfspace +export LinearHalfspace +export linear_hyperplane +export LinearHyperplane export linear_inequality_matrix +export LinearProgram, linear_program export linear_span export linear_symmetries export link_subcomplex export load export load_lp export load_mps +export Localization export localized_ring export loops -export low_index_subgroup_reps export lower_triangular_matrix +export low_index_subgroup_reps export map export map_from_character_lattice_to_torusinvariant_weil_divisor_group export map_from_picard_group_to_class_group @@ -910,13 +806,16 @@ export map_from_torusinvariant_weil_divisor_group_to_class_group export map_gens_of_chow_ring_to_cox_ring export map_on_affine_cones export map_range -export map_word export maps_on_patches +export map_word export mat_elem_type export mathieu_group export matrix_group +export MatrixGroup +export MatrixGroupElem export matrix_kernel export matrix_ordering +export Matroid export matroid_from_bases export matroid_from_circuits export matroid_from_hyperplanes @@ -938,9 +837,9 @@ export maximal_normal_subgroups, has_maximal_normal_subgroups, set_maximal_norma export maximal_polyhedra export maximal_subgroup_reps export maximal_subgroups, has_maximal_subgroups, set_maximal_subgroups -export min_weights -export minimal_block_reps +export metadata export minimal_betti_table +export minimal_block_reps export minimal_denominators export minimal_faces export minimal_generating_set @@ -951,12 +850,19 @@ export minimal_primes export minimal_subalgebra_generators export minkowski_sum export minor +export min_weights +export MixedIntegerLinearProgram, mixed_integer_linear_program +export ModuleFP +export ModuleFPElem +export ModuleFPHom +export ModuleOrdering export modulus export moebius_mu export molien_series +export monomial_basis export monomial_ordering +export MonomialOrdering export monomials -export monomial_basis export mori_cone export morphism_from_cox_variety export morphism_of_projective_schemes @@ -964,16 +870,36 @@ export morphism_on_class_group export morphism_on_picard_group export morphism_on_torusinvariant_cartier_divisor_group export morphism_on_torusinvariant_weil_divisor_group -export morphism_type export morphisms +export morphism_type export moved_points, has_moved_points, set_moved_points +export MPolyComplementOfKPointIdeal +export MPolyComplementOfPrimeIdeal +export MPolyDecRing +export MPolyDecRingElem export mpoly_dec_ring_type export mpoly_dec_type +export MPolyIdeal +export MPolyLeadingMonOne +export MPolyLocalizedIdeal +export MPolyLocalizedRingHom +export MPolyLocRing +export MPolyLocRingElem +export MPolyPowersOfElement +export MPolyProductOfMultSets +export MPolyQuoIdeal +export MPolyQuoLocalizedIdeal +export MPolyQuoLocalizedRingHom +export MPolyQuoLocRing +export MPolyQuoLocRingElem +export MPolyQuoRing +export MPolyQuoRingElem +export MPolyRingElem +export MPolyRingElemLoc export mpoly_ring_type export mpoly_type export mul export mul! -export mult_set_type export multi_hilbert_function export multi_hilbert_series export multi_hilbert_series_reduced @@ -981,15 +907,12 @@ export multiplication_induced_morphism export multiplication_morphism export multiplicative_jordan_decomposition export multiplicities_eigenvalues -export n_cones -export n_connected_components -export n_maximal_cells -export n_maximal_cones -export n_maximal_polyhedra -export n_nodes +export mult_set_type export name export names_of_fusion_sources export natural_character +export n_cones +export n_connected_components export ne export nedges export nef_cone @@ -1002,33 +925,39 @@ export negwdeglex export negwdegrevlex export neighbor_patches export neighbors +export Nemo export newton_polytope export nfacets export ngens export nilpotency_class, has_nilpotency_class, set_nilpotency_class +export n_maximal_cells +export n_maximal_cones +export n_maximal_polyhedra +export n_nodes export noether_normalization +export nonbases export non_fano_matroid export non_flat_locus export non_pappus_matroid -export nonbases -export norm_equation -export norm_equation_fac_elem export normal_closure export normal_cone export normal_fan +export normalization +export normalization_with_delta +export normalize! +export normalized_volume +export normalizer export normal_subgroup export normal_subgroups, has_normal_subgroups, set_normal_subgroups export normal_toric_varieties_from_glsm export normal_toric_varieties_from_star_triangulations export normal_toric_variety +export NormalToricVariety export normal_toric_variety_from_glsm export normal_toric_variety_from_star_triangulation export normal_vector -export normalization -export normalization_with_delta -export normalize! -export normalized_volume -export normalizer +export norm_equation +export norm_equation_fac_elem export npatches export npoints export npolyhedra @@ -1049,12 +978,14 @@ export nv export nvertices export objective_function export omega_group +export one! export on_indeterminates export on_lines export on_sets export on_sets_sets export on_tuples -export one! +export OO +export OpenInclusion export open_subset_type export opposite_algebra export opposite_ordering @@ -1064,29 +995,41 @@ export optimal_vertex export orbit_polytope export orbit_representatives_and_stabilizers export orbits +export order_field_of_definition export order, has_order, set_order export orders_centralizers export orders_class_representatives -export order_field_of_definition export orders_perfect_groups export ordinary_table export orthogonal_components export orthogonal_group export orthogonal_sign export oscar +export OSCAR export outneighbors export pappus_matroid export parallel_extension export parent export patches export pbw_algebra +export PBWAlgElem +export PBWAlgQuo +export PBWAlgQuoElem +export PBWAlgRing +export @pbw_relations export pc_group +export PcGroup +export PcGroupElem export pcore export perfect_group export perfect_group_identification, has_perfect_group_identification export perles_nonrational_8_polytope +export @perm export perm +export PermGroup +export PermGroupElem export permutation +export @permutation_group export permutation_group export permutation_matrix export permutation_of_terms @@ -1098,19 +1041,24 @@ export platonic_solid export point_coordinates export point_matrix export points -export pol_elementary_divisors +export PointVector export polarize -export poly_type +export pol_elementary_divisors export polyhedra -export polyhedra_of_dim +export PolyhedralComplex, polyhedral_complex export polyhedral_fan_from_rays_action +export PolyhedralFan, polyhedral_fan +export polyhedra_of_dim export polyhedron +export Polyhedron +export Polymake export polynomial export polynomial_ring +export poly_type export positive_hull export possible_class_fusions -export power_sum export powers_of_element +export power_sum export preimage export present_as_cokernel export presentation @@ -1125,27 +1073,33 @@ export primitive_group export primitive_group_identification, has_primitive_group_identification export primorial export principal_extension +export PrincipalOpenSubset export print_constraints export product -export proj_space export project_full export projection export projection_to_base +export ProjectiveAlgebraicSet export projective_general_linear_group export projective_geometry -export projective_orthogonal_group export projective_omega_group +export projective_orthogonal_group export projective_plane export projective_scheme +export ProjectiveScheme +export ProjectiveSchemeMor export projective_space export projective_special_linear_group export projective_special_orthogonal_group export projective_special_unitary_group export projective_symplectic_group export projective_unitary_group +export ProjectiveVariety +export proj_space export pullback export pullback_type export pyramid +export QQ export quadratic_form export quaternion_group export quo @@ -1153,31 +1107,33 @@ export quotient export radical export radical_membership export rand +export random_affine_linear_polynomials export rand_pseudo export rand_spherical_polytope export rand_subpolytope -export random_affine_linear_polynomials export rank export rank_action export rational_equivalence_class +export RationalEquivalenceClass export rational_solutions export rational_to_continued_fraction_hirzebruch_jung export ray_indices export rays export rays_modulo_lineality +export RayVector export real_projective_plane export real_solutions export recession_cone export reduce -export reduce_fraction -export reduce_with_quotients -export reduce_with_quotients_and_unit export reduced_characteristic_polynomial export reduced_groebner_basis export reduced_scheme +export reduce_fraction +export reduce_with_quotients +export reduce_with_quotients_and_unit export register_morphism! -export regular_24_cell export regular_120_cell +export regular_24_cell export regular_600_cell export regular_triangulation export regular_triangulations @@ -1197,10 +1153,10 @@ export restrict_automorphism export restrict_automorphism_group export restrict_codomain export restrict_domain -export restrict_endomorphism -export restrict_homomorphism export restricted_map export restricted_map_type +export restrict_endomorphism +export restrict_homomorphism export restriction export restriction_map export restrictions @@ -1226,17 +1182,20 @@ export saturation_with_index export save export save_lp export save_mps -export metadata export scalar_product export scheme +export Scheme +export SchemeMor export schur_index export secondary_cone export secondary_invariants export secondary_polytope -export semi_invariants export semidirect_product +export SemidirectProductGroup +export semi_invariants export separating_hyperplanes export series_extension +export SesquilinearForm export set_base_scheme! export set_commutator! export set_conjugate! @@ -1248,32 +1207,39 @@ export set_ordering export set_power! export set_relative_order! export set_relative_orders! -export set_theoretic_intersection export sets -export short_right_transversal +export set_theoretic_intersection export shortest_path_dijkstra +export short_right_transversal export show_morphism export show_morphism_as_map export show_subquo export signed_incidence_matrix +export SimpleGlueing export simplex +export SimplicialComplex export simplified_fp_group export simplify +export simplify! export simplify_light export simplify_with_same_ambient_free_module -export simplify! export simulate_valuation export singular +export Singular export singular_assure export singular_coeff_ring export singular_locus export singular_locus_reduced export singular_poly_ring +export SL +export SLPoly export slpoly_ring +export SLPolyRing export small_generating_set export small_generating_set, has_small_generating_set, set_small_generating_set export small_group export small_group_identification, has_small_group_identification +export SO export socle, has_socle, set_socle export solvable_radical, has_solvable_radical, set_solvable_radical export solve_ineq @@ -1281,11 +1247,18 @@ export solve_lp export solve_milp export solve_mixed export solve_non_negative +export Sp export spanning_sets -export spec_open_ring_type +export Spec export special_linear_group export special_orthogonal_group export special_unitary_group +export SpecMor +export SpecOpen +export SpecOpenMor +export SpecOpenRing +export SpecOpenRingElem +export spec_open_ring_type export src export standard_basis export standard_basis_with_transformation_matrix @@ -1296,15 +1269,22 @@ export stanley_reisner_ring export star_subcomplex export star_subdivision export star_triangulations +export StdSpec export strongly_connected_components export structure_sheaf export structure_tropical_jacobian +export SU export sub export subalgebra_membership export subalgebra_membership_homogeneous +export SubdivisionOfPoints, subdivision_of_points export subgroup_reps -export subquo_type +export SubObjectIterator +export SubQuoHom +export SubquoModule +export SubquoModuleElem export subquotient +export subquo_type export subscheme export support_function export syllables @@ -1319,8 +1299,8 @@ export symplectic_components export symplectic_group export syz export syzygy_generators -export tangent_space export tail +export tangent_space export tensor_product export terms export tetrahedron @@ -1328,17 +1308,22 @@ export tighten_simulation export to_elementary_symmetric export tor export toric_divisor +export ToricDivisor export toric_divisor_class +export ToricDivisorClass export toric_ideal export toric_identity_morphism export toric_line_bundle +export ToricLineBundle export toric_morphism +export ToricMorphism export toric_vanishing_set +export ToricVanishingSet export toric_variety -export torus # requires a distinction from e.g. an algebraic group export torusinvariant_cartier_divisor_group export torusinvariant_prime_divisors export torusinvariant_weil_divisor_group +export torus # requires a distinction from e.g. an algebraic group export total_degree export transform export transition_graph @@ -1351,9 +1336,16 @@ export trivial_divisor export trivial_divisor_class export trivial_morphism export trivial_subgroup, has_trivial_subgroup, set_trivial_subgroup +export @tropical +export TropicalCurve +export TropicalHypersurface +export TropicalLinearSpace export tropical_points export tropical_polynomial +export TropicalSemiring +export TropicalSemiringMap export tropical_variety +export TropicalVariety export truncate export turn_denominator_into_polyhedron export tutte_connectivity @@ -1364,6 +1356,7 @@ export underlying_morphism export underlying_polyhedral_complex export underlying_quotient export underlying_scheme +export Undirected export uniform_matroid export unit export unitary_group @@ -1374,12 +1367,11 @@ export upper_bound_f_vector export upper_bound_g_vector export upper_bound_h_vector export upper_triangular_matrix -export v_reduced export valuation_of_roots export valued_weighted_degree export vamos_matroid -export vanishing_sets export vanishing_ideal +export vanishing_sets export variety export vector_matrix export vector_space_basis @@ -1394,16 +1386,19 @@ export vf_group export visualize export volume export volume_form +export v_reduced export walls export wdeglex export wdegrevlex export weakly_connected_components export weight -export weight_ordering export weighted_projective_space +export weight_ordering export weyl_algebra export weyl_vector export witt_index export wreath_product +export WreathProductGroup export write_as_full export write_as_linear_combination +export ZZ