Castelnuovo-Mumford regularity of products of ideals
Commutative Algebra
2007-05-23 v1
Abstract
We discuss the behavior of the Castelnuovo-Mumford regularity under certain operations on ideals and modules, like products or powers. In particular, we show that reg(IM) can be larger than reg(M)+reg(I) even when I is an ideal of linear forms and M is a module with a linear resolution. On the other hand, we show that any product of ideals of linear forms has a linear resolution. We also discuss the case of polymatroidal ideals and show that any product of determinantal ideals of a generic Hankel matrix has a linear resolution.
Keywords
Cite
@article{arxiv.math/0210065,
title = {Castelnuovo-Mumford regularity of products of ideals},
author = {Aldo Conca and Juergen Herzog},
journal= {arXiv preprint arXiv:math/0210065},
year = {2007}
}
Comments
14 pages