English

Generating Residual Intersections of Determinantal Ideals

Commutative Algebra 2022-10-28 v1

Abstract

If II is a perfect ideal in a local Cohen-Macaulay ring, the generators of ideals linked to II are well understood. However, the generators of the residual intersections of II have only been computed in a few special cases. In this paper, we show that the nn-residual intersections of determinantal ideals of generic 2×n2\times n matrices are sums of links.

Keywords

Cite

@article{arxiv.2210.15005,
  title  = {Generating Residual Intersections of Determinantal Ideals},
  author = {Yevgeniya Tarasova},
  journal= {arXiv preprint arXiv:2210.15005},
  year   = {2022}
}

Comments

27 pages

R2 v1 2026-06-28T04:35:56.486Z