Some Remarks on Ideals with large Regularity and Regularity Jumps
Commutative Algebra
2015-08-18 v1
Abstract
This paper exhibits some new examples of the behavior of the Castelnuovo-Mumford regularity of homogeneous ideals in polynomial rings. More precisely, we present new examples of homogenous ideals with large regularity compared to the generating degree. Then we consider the regularity jumps of ideals. In particular we provide an infinite family of ideals having regularity jumps at a certain power.
Cite
@article{arxiv.1508.04023,
title = {Some Remarks on Ideals with large Regularity and Regularity Jumps},
author = {Keivan Borna and Abolfazl Mohajer},
journal= {arXiv preprint arXiv:1508.04023},
year = {2015}
}
Comments
11 pages