Ideals of the form I1(XY)

In this paper we compute Gröbner bases for determinantal ideals of the form I1(XY), where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gröbner basis structure to determine Betti numbers for such ideals.

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Bibliographic Details
Published in:Journal of symbolic computation 2019-03, Vol.91, p.17-29
Main Authors: Saha, Joydip, Sengupta, Indranath, Tripathi, Gaurab
Format: Article
Language:English
Subjects:
Betti numbers
Completely irreducible systems
Determinantal ideals
Gröbner basis
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Summary:In this paper we compute Gröbner bases for determinantal ideals of the form I1(XY), where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gröbner basis structure to determine Betti numbers for such ideals.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2018.06.011