The Core of 0-Dimensional Monomial Ideals
Commutative Algebra
2007-05-23 v2 Algebraic Geometry
Abstract
The core of an ideal is the intersection of all its reductions. We describe the core of a zero-dimensional monomial ideal I as the largest monomial ideal contained in a general reduction of I. This provides a new interpretation of the core in the monomial case as well as an efficient algorithm for computing it. We relate the core to adjoints and first coefficient ideals, and in dimension two and three we give explicit formulas.
Cite
@article{arxiv.math/0609152,
title = {The Core of 0-Dimensional Monomial Ideals},
author = {Claudia Polini and Bernd Ulrich and Marie A. Vitulli},
journal= {arXiv preprint arXiv:math/0609152},
year = {2007}
}
Comments
22 pages; corrections made in revised file