Equigenerated ideals of analytic deviation one
Commutative Algebra
2020-09-17 v1
Abstract
The overall goal is to approach the Cohen--Macaulay property of the special fiber of an equigenerated homogeneous ideal in a standard graded ring over an infinite field. When the ground ring is assumed to be local, the subject has been extensively looked at. Here, with a focus on the graded situation, one introduces two technical conditions, called respectively, {\em analytical tightness} and {\em analytical adjustment}, in order to approach the Cohen--Macaulayness of . A degree of success is obtained in the case where in addition has analytic deviation one, a situation looked at by several authors, being essentially the only interesting one in dimension three. Naturally, the paper has some applications in this case.
Cite
@article{arxiv.2009.07355,
title = {Equigenerated ideals of analytic deviation one},
author = {Zaqueu Ramos and Aron Simis},
journal= {arXiv preprint arXiv:2009.07355},
year = {2020}
}