6 citations · 21 across the 16 of their papers we have counts for
7 papers · 1 filter
Cohomological aspects of power ideals
Colin Crowley, Matt Larson
We show that the space of sections of any line bundle on the augmented wonderful variety of a hyperplane arrangement has the structure of a coalgebra. These coalgebras correspond t…
Kapranov degrees
Joshua Brakensiek, Christopher Eur, Matt Larson +1
The moduli space of stable rational curves with marked points has two distinguished families of maps: the forgetful maps, given by forgetting some of the markings, and the Kapranov…
Intersection theory of polymatroids
Christopher Eur, Matt Larson
Polymatroids are combinatorial abstractions of subspace arrangements in the same way that matroids are combinatorial abstractions of hyperplane arrangements. By introducing augment…
-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…
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…