Depth and the local cohomology of FIG-modules

Liping Li, Eric Ramos

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

In this paper we describe a machinery for homological calculations of representations of FIG, 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 in [16] coincides with a more classical invariant from commutative algebra, and obtain upper bounds of a few important invariants of FIG-modules in terms of torsion degrees of their local cohomology groups.

Original languageEnglish
Pages (from-to)704-741
Number of pages38
JournalAdvances in Mathematics
Volume329
DOIs
StatePublished - 30 Apr 2018

Keywords

  • FI-modules
  • Local cohomology
  • Representation stability

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