38 citations · 272 across the 43 of their papers we have counts for
5 papers · 1 filter
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.
Koszul modules and Green's conjecture
Marian Aprodu, Gavril Farkas, Stefan Papadima +2
We prove a strong vanishing result for finite length Koszul modules, and use it to derive Green's conjecture for every g-cuspidal rational curve over an algebraically closed field…
Syzygies of determinantal thickenings and representations of the general linear Lie superalgebra
Claudiu Raicu, Jerzy Weyman
We let S denote the ring of polynomial functions on the space of m x n matrices, and consider the action of the group GL = GL_m x GL_n via row and column operations on the matrix e…
Topological invariants of groups and Koszul modules
Marian Aprodu, Gavril Farkas, Stefan Papadima +2
We provide a uniform vanishing result for the graded components of the finite length Koszul module associated to a subspace K inside the second exterior product of a vector space,…
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…