Liping LiHunan Normal UniversityEric RamosU. Michigan
K-Theory and HomologyRepresentation TheoryRings and Algebrasmathscidoc:1711.20002
We develop a local cohomology theory for FI^m-modules, and show that it in many ways mimics the classical theory for multi-graded modules over a polynomial ring. In particular, we define an invariant of FI^m-modules using this local cohomology theory which closely resembles an invariant of multi-graded modules over Cox rings defined by Maclagan and Smith. It is then shown that this invariant behaves almost identically to the invariant of Maclagan and Smith.
@inproceedings{lipinglocal,
title={Local cohomology and the multi-graded regularity of FI^m-modules},
author={Liping Li, and Eric Ramos},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20171123171714744252859},
}
Liping Li, and Eric Ramos. Local cohomology and the multi-graded regularity of FI^m-modules. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20171123171714744252859.