8 citations · 12 across the 7 of their papers we have counts for
12 papers
Some unipotent Arthur packets for p-adic split F4
Leticia Barchini, András C. Lőrincz
Let be the split form of the simple exceptional p-adic group of type , and let be the minimal distinguished nilpotent orbit. Our main result con…
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…
Equivariant D-modules on alternating senary 3-tensors
András C. Lőrincz, Michael Perlman
Let X be the third exterior power of a six-dimensional complex vector space, equipped with the natural action of the group GL_6(C) of invertible linear transformations of C^6. We d…
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…
Iterated local cohomology groups and Lyubeznik numbers for determinantal rings
András C. Lőrincz, Claudiu Raicu
We give an explicit recipe for determining iterated local cohomology groups with support in ideals of minors of a generic matrix in characteristic zero, expressing them as direct s…
Singularities of zero sets of semi-invariants for quivers
András Cristian Lőrincz
Let be a quiver with dimension vector prehomogeneous under the action of the product of general linear groups on the representation variety $\operato…
The b-functions of semi-invariants of quivers
András Cristian Lőrincz
In this paper we compute b-functions (or Bernstein-Sato polynomials) of various semi-invariants of quivers. The main tool is an explicit relation for the b-functions between semi-i…