Jörg Schürmann

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math.AG2024

Weighted Ehrhart theory via equivariant toric geometry

Laurenţiu Maxim, Jörg Schürmann

We give a $K$ -theoretic and geometric interpretation for a generalized weighted Ehrhart theory of a full-dimensional lattice polytope $P$ , depending on a given homogeneous polynomi…

math.AG2024

Weighted Ehrhart theory via mixed Hodge modules on toric varieties

Laurentiu Maxim, Jörg Schürmann

We give a cohomological and geometrical interpretation for the weighted Ehrhart theory of a full-dimensional lattice polytope $P$ , with Laurent polynomial weights of geometric orig…

math.AG2023

Topological Gysin Coherence for Algebraic Characteristic Classes of Singular Spaces

Markus Banagl, Jörg Schürmann, Dominik J. Wrazidlo

Brasselet, the second author and Yokura introduced Hodge-theoretic Hirzebruch-type characteristic classes $I T_{1, *}$ , and conjectured that they are equal to the Goresky-MacPher…