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Zero rows in free resolutions #2471

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jankoboehm opened this issue Jun 14, 2023 · 1 comment
Open

Zero rows in free resolutions #2471

jankoboehm opened this issue Jun 14, 2023 · 1 comment
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bug Something isn't working singular coding sprint

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@jankoboehm
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jankoboehm commented Jun 14, 2023

There seem to be zero rows in the matrices of free resolutions, that is, unit vectors are mapped to zero. Independent of whether we compute a minimal resolution or not, zero rows could be removed.

This only happens if we give to the Schreyer algorithm as required a Groebner basis. The current Oscar does not do this and only hands over a generating system (which is a bug). Then the zero rows do not appear. If we fix this bug the zero rows appear. So this issue is meant as a note to the ones currently fixing this bug.

I will try to generate an example which shows this with the current Oscar.

Note, the zero rows also a the root of a bug under discussion on graded resolutions, since they do not allow for determining the degree of the source unit vector.

@jankoboehm jankoboehm added the bug Something isn't working label Jun 14, 2023
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Should be resolved by PR #2634.

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