Depth and regularity modulo a principal ideal
arXiv:1706.09675 · doi:10.1007/s10801-018-0811-9.
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.
20 pages, published version, Journal of Algebraic Combinatorics 2018