Bounds on homological invariants of VI-modules
Representation Theory
2019-04-16 v2 K-Theory and Homology
Rings and Algebras
Abstract
We give bounds for various homological invariants (including Castelnuovo-Mumford regularity, degrees of local cohomology, and injective dimension) of finitely generated VI-modules in the non-describing characteristic case. It turns out that the formulas of these bounds for VI-modules are the same as the formulas of corresponding bounds for FI-modules.
Keywords
Cite
@article{arxiv.1710.10223,
title = {Bounds on homological invariants of VI-modules},
author = {Wee Liang Gan and Liping Li},
journal= {arXiv preprint arXiv:1710.10223},
year = {2019}
}
Comments
Following suggestions of the referee, a few changes were adopted to simplify arguments and improve bounds