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math.AC2016
Finiteness of Associated Primes of Local Cohomology Modules Over Stanley-Reisner Rings
Roberto Barrera, Jeffrey Madsen, Ashley K. Wheeler
Local cohomology modules, even over a Noetherian ring , are typically unwieldly. As such, it is of interest whether or not they have finitely many associated primes. We prove th…
math.AC2015
Principal Minor Ideals and Rank Restrictions on their Vanishing Sets
Ashley K. Wheeler
All matrices we consider have entries in a fixed algebraically closed field . A minor of a square matrix is principal means it is defined by the same row and column indices. We…
math.AC2014
Ideals Generated by Principal Minors
Ashley K. Wheeler
A minor is principal means it is defined by the same row and column indices. Let be a square generic matrix, the polynomial ring in entries of , over an algebraically…