English

A remark on FI-module homology

Rings and Algebras 2016-05-12 v4 Representation Theory

Abstract

We show that the FI-homology of an FI-module can be computed via a Koszul complex. As an application, we prove that the Castelnuovo-Mumford regularity of a finitely generated torsion FI-module is equal to its degree.

Cite

@article{arxiv.1505.01777,
  title  = {A remark on FI-module homology},
  author = {Wee Liang Gan and Liping Li},
  journal= {arXiv preprint arXiv:1505.01777},
  year   = {2016}
}

Comments

Minor corrections

R2 v1 2026-06-22T09:29:52.264Z