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Equivariant toric geometry and Euler-Maclaurin formulae -- an overview
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann +1
We survey recent developments in the study of torus equivariant motivic Chern and Hirzebruch characteristic classes of projective toric varieties, with applications to calculating…
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 , with Laurent polynomial weights of geometric orig…
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 , and conjectured that they are equal to the Goresky-MacPher…
A new generic vanishing theorem on homogeneous varieties and the positivity conjecture for triple intersections of Schubert cells
Jörg Schürmann, Connor Simpson, Botong Wang
In this paper we prove a new generic vanishing theorem for a complete homogeneous variety with respect to an action of a connected algebraic group. Let be loc…