1 citations · 1 across the 4 of their papers we have counts for
6 papers
Toric and tropical Bertini theorems in positive characteristic
Francesca Gandini, Milena Hering, Diane Maclagan +4
We generalize the toric Bertini theorem of Fuchs, Mantova, and Zannier to positive characteristic. A key part of the proof is a new algebraically closed field containing the field…
Geometric Equations for Matroid Varieties
Jessica Sidman, Will Traves, Ashley Wheeler
Each point in Gr corresponds to an matrix which gives rise to a matroid on its columns. Gel'fand, Goresky, MacPherson, and Serganova showed that…
The Sandpile Group of a Thick Cycle Graph
Diane Christine Alar, Jonathan Celaya, Luis David García Puente +2
The majority of graphs whose sandpile groups are known are either regular or simple. We give an explicit formula for a family of non-regular multi-graphs called thick cycles. A thi…
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…
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…
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…