1 citations · 1 across the 6 of their papers we have counts for
7 papers
Calculating Hodge and weight filtrations on localizations
András C. Lőrincz, Michael Perlman
We describe the Macaulay2 package MixedHodgeModules, which computes Hodge and weight filtrations on localizations S_f of a polynomial ring S at a non-constant reduced polynomial f,…
Local cohomology with Schubert support on compact Hermitian symmetric spaces
Michael Perlman
We consider local cohomology sheaves on compact Hermitian symmetric spaces supported in Schubert varieties, which carry natural structures as mixed Hodge modules. Our main result g…
Microlocal Bernstein--Sato polynomials on singular ambient varieties
Bradley Dirks, Michael Perlman
We introduce the microlocal Bernstein--Sato polynomial of a function on a possibly singular ambient variety, extending the theory of Saito. We show that, contrary to the smooth amb…
Local cohomology with support in Schubert varieties
Michael Perlman
This paper is concerned with local cohomology sheaves on generalized flag varieties supported in closed Schubert varieties, which carry natural structures as (mixed Hodge) D-module…
Ideals preserved by linear changes of coordinates in positive characteristic
Bjørn Cattell-Ravdal, Erin Delargy, Akash Ganguly +4
We consider the polynomial ring in finitely many variables over an algebraically closed field of positive characteristic, and initiate the systematic study of ideals preserved by t…
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…
Mixed Hodge structure on local cohomology with support in determinantal varieties
Michael Perlman
We employ the inductive structure of determinantal varieties to calculate the mixed Hodge module structure of local cohomology modules with determinantal support. We show that the…