6 papers
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…