English

On the regularity of products and intersections of complete intersections

Commutative Algebra 2016-09-07 v1

Abstract

This paper proves that the Castelnuovo-Mumford regularities of the product and sum of two monomial complete intersection ideals are at most the sum of the regularities of the two ideals, and provides examples showing that these inequalities do not hold for general complete intersections.

Keywords

Cite

@article{arxiv.math/0503157,
  title  = {On the regularity of products and intersections of complete intersections},
  author = {Marc Chardin and Nguyen Cong Minh and Ngo Viet Trung},
  journal= {arXiv preprint arXiv:math/0503157},
  year   = {2016}
}

Comments

10 pages