Ideals of the form $I_{1}(XY)$
Commutative Algebra
2019-01-11 v7
Abstract
In this paper we compute Gr\"obner bases for determinantal ideals of the form , where and are both matrices whose entries are indeterminates over a field . We use the Gr\"obner basis structure to determine Betti numbers for such ideals.
Cite
@article{arxiv.1609.02765,
title = {Ideals of the form $I_{1}(XY)$},
author = {Joydip Saha and Indranath Sengupta and Gaurab Tripathi},
journal= {arXiv preprint arXiv:1609.02765},
year = {2019}
}
Comments
20 pages