1 citations · 1 across the 2 of their papers we have counts for
4 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…