GL-algebras in positive characteristic I: the exterior algebra
Commutative Algebra
2024-07-09 v2 Representation Theory
Abstract
We study the category of GL-equivariant modules over the infinite exterior algebra in positive characteristic. Our main structural result is a shift theorem a la Nagpal. Using this, we obtain a Church--Ellenberg type bound for the Castelnuovo--Mumford regularity. We also prove finiteness results for local cohomology.
Keywords
Cite
@article{arxiv.2203.03693,
title = {GL-algebras in positive characteristic I: the exterior algebra},
author = {Karthik Ganapathy},
journal= {arXiv preprint arXiv:2203.03693},
year = {2024}
}
Comments
27 pages; change in title and other minor improvements