Depth and regularity modulo a principal ideal
Commutative Algebra
2018-01-30 v3 Algebraic Geometry
Combinatorics
Abstract
We study the relationship between depth and regularity of a homogeneous ideal I and those of (I,f) and I:f, where f is a linear form or a monomial. Our results has several interesting consequences on depth and regularity of edge ideals of hypegraphs and of powers of ideals.
Keywords
Cite
@article{arxiv.1706.09675,
title = {Depth and regularity modulo a principal ideal},
author = {Giulio Caviglia and Huy Tai Ha and Jürgen Herzog and Manoj Kummini and Naoki Terai and Ngo Viet Trung},
journal= {arXiv preprint arXiv:1706.09675},
year = {2018}
}
Comments
20 pages, published version, Journal of Algebraic Combinatorics 2018