Arithmetic Geometry and Commutative AlgebraK-Theory and HomologyRepresentation TheoryRings and Algebrasmathscidoc:1702.07001
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.
@inproceedings{lipingdepth,
title={Depth and the Local Cohomology of FI_G-modules},
author={Liping Li, and Eric Ramos},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222110423596972505},
}
Liping Li, and Eric Ramos. Depth and the Local Cohomology of FI_G-modules. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222110423596972505.