2 papers
math.CO2026
Differential operators, anisotropy, and simplicial spheres
Kalle Karu, Matt Larson, Alan Stapledon
We find identities involving differential operators in the generic artinian reduction of the Stanley-Reisner ring of a simplicial sphere in any positive characteristic. These ident…
math.CO2024
Mixed volumes of matroids
Andy Hsiao, Kalle Karu, Jonathan Yang
Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on the integration formula for complete fans given by Brion. T…