Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals
Commutative Algebra
2021-05-18 v2
Abstract
We study initial algebras of determinantal rings, defined by minors of generic matrices, with respect to their classical generic point. This approach leads to very short proofs for the structural properties of determinantal rings. Moreover, it allows us to classify their Cohen-Macaulay and Ulrich ideals.
Keywords
Cite
@article{arxiv.math/0308066,
title = {Initial algebras of determinantal rings, Cohen-Macaulay and Ulrich ideals},
author = {Winfried Bruns and Tim Roemer and Attila Wiebe},
journal= {arXiv preprint arXiv:math/0308066},
year = {2021}
}
Comments
11 pages