48 citations · 206 across the 21 of their papers we have counts for
26 papers
Weighted Ehrhart theory via equivariant toric geometry
Laurenţiu Maxim, Jörg Schürmann
We give a -theoretic and geometric interpretation for a generalized weighted Ehrhart theory of a full-dimensional lattice polytope , depending on a given homogeneous polynomi…
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…
An algebraic approach to a quartic analogue of the Kontsevich model
Jörg Schürmann, Raimar Wulkenhaar
We consider an analogue of Kontsevich's matrix Airy function where the cubic potential is replaced by a quartic term . Cumulants of the resulti…
Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem
Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann +1
Motivic Chern classes are elements in the K-theory of an algebraic variety , depending on an extra parameter . They are determined by functoriality and a normalization proper…
Positivity of Segre-MacPherson classes
Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann +1
Let be a complex nonsingular variety with globally generated tangent bundle. We prove that the signed Segre-MacPherson (SM) class of a constructible function on with effect…
Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells
Paolo Aluffi, Leonardo C. Mihalcea, Joerg Schuermann +1
Chern-Schwartz-MacPherson (CSM) classes generalize to singular and/or noncompact varieties the classical total homology Chern class of the tangent bundle of a smooth compact comple…
Thom-Sebastiani theorems for filtered D-modules and for multiplier ideals
Laurentiu Maxim, Morihiko Saito, Joerg Schuermann
We give a proof of the Thom-Sebastiani type theorem for holonomic filtered -modules satisfying certain good conditions (including Hodge modules) by using algebraic partial micro…
Spectral Hirzebruch-Milnor classes of singular hypersurfaces
Laurentiu Maxim, Morihiko Saito, Joerg Schuermann
We introduce spectral Hirzebruch-Milnor classes for singular hypersurfaces. These can be identified with Steenbrink spectra in the isolated singularity case, and may be viewed as t…
Plethysm and cohomology representations of external and symmetric products
Laurentiu Maxim, Joerg Schuermann
We prove refined generating series formulae for characters of (virtual) cohomology representations of external products of suitable coefficients, e.g., (complexes of) constructible…
Motivic and derived motivic Hirzebruch classes
Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura
In this paper we give a formula for the Hirzebruch -genus and similarly for the motivic Hirzebruch class for possibly singular varieties , using the Va…
Chern classes and transversality for singular spaces
Joerg Schuermann
In this paper we compare different notions of transversality for possible singular complex algebraic or analytic subsets of an ambient complex manifold and prove a refined intersec…
Equivariant characteristic classes of external and symmetric products of varieties
Laurentiu Maxim, Joerg Schuermann
We obtain refined generating series formulae for equivariant characteristic classes of external and symmetric products of singular complex quasi-projective varieties. More concrete…
Hirzebruch-Milnor classes and Steenbrink spectra of certain projective hypersurfaces
Laurentiu Maxim, Morihiko Saito, Joerg Schuermann
We show that the Hirzebruch-Milnor class of a projective hypersurface, which gives the difference between the Hirzebruch class and the virtual one, can be calculated by using the S…
Characteristic classes of mixed Hodge modules and applications
Laurentiu Maxim, Joerg Schuermann
These notes are an extended version of the authors' lectures at the 2013 CMI Workshop "Mixed Hodge Modules and Their Applications". We give an overview, with an emphasis on applica…
Purity for graded potentials and quantum cluster positivity
Ben Davison, Davesh Maulik, Joerg Schuermann +1
Consider a smooth quasiprojective variety X equipped with a C*-action, and a regular function f: X -> C which is C*-equivariant with respect to a positive weight action on the base…
Characteristic classes of singular toric varieties
Laurentiu Maxim, Joerg Schuermann
In this paper we compute the motivic Chern classes and homology Hirzebruch characteristic classes of (possibly singular) toric varieties, which in the complete case fit nicely with…
Characteristic classes of Hilbert schemes of points via symmetric products
Sylvain Cappell, Laurentiu Maxim, Toru Ohmoto +2
We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of poin…
Motivic Bivariant Characteristic Classes
Joerg Schuermann, Shoji Yokura
Let K_0(V/X) be the relative Grothendieck group of varieties over X in obj(V), with V the category of (quasi-projective) algebraic (resp. compact complex analytic) varieties over a…
Symmetric products of mixed Hodge modules
Laurentiu Maxim, Morihiko Saito, Joerg Schuermann
Generalizing a theorem of Macdonald, we show a formula for the mixed Hodge structure on the cohomology of the symmetric products of bounded complexes of mixed Hodge modules by show…
Characteristic classes of symmetric products of complex quasi-projective varieties
Sylvain E. Cappell, Laurentiu Maxim, Joerg Schuermann +2
We prove generating series formulae for suitable twisted characteristic classes of symmetric products of a singular complex quasi-projective variety. More concretely, we study homo…
Motivic bivariant characteristic classes
Shoji Yokura
The relative Grothendieck group $K_0(\m V/X)$ is the free abelian group generated by the isomorphism classes of complex algebraic varieties over modulo the "scissor relation".…
Equivariant characteristic classes of singular complex algebraic varieties
Sylvain E. Cappell, Laurentiu Maxim, Joerg Schuermann +1
Homology Hirzebruch characteristic classes for singular varieties have been recently defined by Brasselet-Schuermann-Yokura as an attempt to unify previously known characteristic c…