Minimal Primes Over Permanental Ideals
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 2005
- DOI:
- 10.48550/arXiv.math/0510025
- arXiv:
- arXiv:math/0510025
- Bibcode:
- 2005math.....10025K
- Keywords:
-
- Commutative Algebra;
- Combinatorics;
- 13P10;
- 13F20
- E-Print:
- 22 Pages