8 citations · 12 across the 7 of their papers we have counts for
7 papers · 1 filter
Archimedean zeta functions, singularities, and Hodge theory
Dougal Davis, András C. Lőrincz, Ruijie Yang
We use Hodge theory to relate poles of the Archimedean zeta function of a holomorphic function with several invariants of singularities. First, we prove that the largest…
Singularities of orthogonal and symplectic determinantal varieties
András Cristian Lőrincz
Let either or act naturally on the space of matrices . There are only finitely many orbits, and the orbit closures are orthogona…
Equivariant D-modules on 2x2xn hypermatrices
András C. Lőrincz, Michael Perlman
We study D-modules and related invariants on the space of 2 x 2 x n hypermatrices for n >= 3, which has finitely many orbits under the action of G = GL_2 x GL_2 x GL_n. We describe…
Borel-Moore homology of determinantal varieties
András C. Lőrincz, Claudiu Raicu
We compute the rational Borel-Moore homology groups for affine determinantal varieties in the spaces of general, symmetric, and skew-symmetric matrices, solving a problem suggested…
Local Euler obstructions for determinantal varieties
András C. Lőrincz, Claudiu Raicu
The goal of this note is to explain a derivation of the formulas for the local Euler obstructions of determinantal varieties of general, symmetric and skew-symmetric matrices, by s…
Minimal free resolutions of ideals of minors associated to pairs of matrices
András Cristian Lőrincz
Consider the affine space consisting of pairs of matrices of fixed size, and its closed subvariety given by the rank conditions , $\operatorna…
On categories of equivariant D-modules
András C. Lőrincz, Uli Walther
Let be a variety with an action by an algebraic group . In this paper we discuss various properties of -equivariant -modules on , such as the decompositions of thei…