3 papers
math.CO2025
Building sets, Chow rings, and their Hilbert series
Christopher Eur, Luis Ferroni, Jacob P. Matherne +2
We establish formulas for the Hilbert series of the Chow ring of a polymatroid using arbitrary building sets. For braid matroids and minimal building sets, our results produce new…
math.AC2019
Free resolutions of function classes via order complexes
Justin Chen, Christopher Eur, Greg Yang +1
Function classes are collections of Boolean functions on a finite set, which are fundamental objects of study in theoretical computer science. We study algebraic properties of idea…
math.AC2017
Complete intersections with given Hilbert polynomials
Christopher Eur, Sung Hyun Lim
The Hilbert polynomial of a homogeneous complete intersection is determined by the degrees of the generators of the defining ideal. The degrees of the generators are not, in genera…