6 citations · 10 across the 3 of their papers we have counts for
6 papers
Hodge ideals for the determinant hypersurface
Michael Perlman, Claudiu Raicu
We determine explicitly the Hodge ideals for the determinant hypersurface as an intersection of symbolic powers of determinantal ideals. We prove our results by studying the Hodge…
Relations between the 2x2 minors of a generic matrix
Hang Huang, Michael Perlman, Claudia Polini +2
We prove the case t = 2 of a conjecture of Bruns-Conca-Varbaro, describing the minimal relations between the t x t minors of a generic matrix. Interpreting these relations as polyn…
Computing Schur complexes
Michael K. Brown, Hang Huang, Robert P. Laudone +4
We describe a Macaulay2 package for computing Schur complexes. This package expands on the ChainComplexOperations package by David Eisenbud.
Lyubeznik numbers for Pfaffian rings
Michael Perlman
We study the structure of local cohomology with support in Pfaffian varieties as a module over the Weyl algebra D_X of differential operators on the space X of n x n complex skew-s…
Equivariant D-modules on 2x2x2 hypermatrices
Michael Perlman
Let V be the space of 2x2x2 complex hypermatrices, endowed with the natural group action of GL=GL(2,C)^3. The category of GL-equivariant coherent D-modules on V is equivalent to th…
Regularity and cohomology of Pfaffian thickenings
Michael Perlman
Let be the coordinate ring of the space of complex skew-symmetric matrices. This ring has an action of the group induced by the action o…