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Minimal primes over permanental ideals
Author(s):
George
A.
Kirkup
Journal:
Trans. Amer. Math. Soc.
360
(2008),
3751-3770.
MSC (2000):
Primary 13P10
Posted:
February 27, 2008
MathSciNet review:
2386244
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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  permanents of a generic matrix, and show that there are monomials in the ideal of maximal permanents of a  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 strengthen the previously known results.
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Additional Information:
George
A.
Kirkup
Affiliation:
Department of Mathematics, University of California, Berkeley, Berkeley, California 94720
Email:
kirkup@math.berkeley.edu
DOI:
10.1090/S0002-9947-08-04340-7
PII:
S 0002-9947(08)04340-7
Received by editor(s):
October 2, 2005
Received by editor(s) in revised form:
May 21, 2006
Posted:
February 27, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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