4 papers
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…