Depth and the Local Cohomology of FI_G-modules
Representation Theory
2016-10-11 v3 Algebraic Topology
K-Theory and Homology
Rings and Algebras
Abstract
In this paper we describe a machinery for homological calculations of representations of FI_G, and use it to develop a local cohomology theory over any commutative Noetherian ring. As an application, we show that the depth introduced by the second author coincides with a more classical invariant from commutative algebra, and obtain upper bounds of a few important invariants of FI_G-modules in terms of torsion degrees of their local cohomology groups.
Keywords
Cite
@article{arxiv.1602.04405,
title = {Depth and the Local Cohomology of FI_G-modules},
author = {Liping Li and Eric Ramos},
journal= {arXiv preprint arXiv:1602.04405},
year = {2016}
}