Minimal Primes Over Permanental Ideals

Details Minimal Primes Over Permanental Ideals Minimal Primes Over Permanental Ideals

2005-10-03

arxiv.org/abs/math/0510025v1

Mathematics

Commutative Algebra

22 Pages

Scientific paper

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.

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