6 citations · 21 across the 16 of their papers we have counts for
6 papers · 1 filter
-rings of wonderful varieties and matroids
Matt Larson, Shiyue Li, Sam Payne +1
We study the -ring of the wonderful variety of a hyperplane arrangement and give a combinatorial presentation that depends only on the underlying matroid. We use this combinator…
Signed permutohedra, delta-matroids, and beyond
Christopher Eur, Alex Fink, Matt Larson +1
We establish a connection between the algebraic geometry of the type B permutohedral toric variety and the combinatorics of delta-matroids. Using this connection, we compute the vo…
The local motivic monodromy conjecture for simplicial nondegenerate singularities
Matt Larson, Sam Payne, Alan Stapledon
We prove the local motivic monodromy conjecture for singularities that are nondegenerate with respect to a simplicial Newton polyhedron. It follows that all poles of the local topo…
Resolutions of local face modules, functoriality, and vanishing of local -vectors
Matt Larson, Sam Payne, Alan Stapledon
We study the local face modules of triangulations of simplices, i.e., the modules over face rings whose Hilbert functions are local -vectors. In particular, we give resolutions…
Stellahedral geometry of matroids
Christopher Eur, June Huh, Matt Larson
We use the geometry of the stellahedral toric variety to study matroids. We identify the valuative group of matroids with the cohomology ring of the stellahedral toric variety, and…
The Bergman fan of a polymatroid
Colin Crowley, June Huh, Matt Larson +2
We introduce the Bergman fan of a polymatroid and prove that the Chow ring of the Bergman fan is isomorphic to the Chow ring of the polymatroid. Using the Bergman fan, we establish…