Minimal Primes Over Permanental Ideals
Commutative Algebra
2007-05-23 v1 Combinatorics
Abstract
In this paper we discuss minimal primes over permanental ideals of generic matrices. We give a complete list of the minimal primes over ideals of 3 x 3 permanents of a generic matrix, and show that there are monomials in the ideal of maximal permanents of a d x 2d-1 matrix if the characteristic of the ground field is sufficiently large. We also discuss the Alon-Jaeger-Tarsi Conjecture, using our results and techniques to strenthen the previously known results.
Cite
@article{arxiv.math/0510025,
title = {Minimal Primes Over Permanental Ideals},
author = {George Kirkup},
journal= {arXiv preprint arXiv:math/0510025},
year = {2007}
}
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22 Pages