LOCAL COHOMOLOGY AND THE MULTIGRADED REGULARITY OF FJm-MODULES

Liping Li, Eric Ramos

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We develop a local cohomology theory for FJm -modules, and show that it in many ways mimics the classical theory for multigraded modules over a polynomial ring. In particular, we define an invariant of FJm -modules using this local cohomology theory which closely resembles an invariant of multigraded 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.

Original languageEnglish
Pages (from-to)235-252
Number of pages18
JournalJournal of Commutative Algebra
Volume13
Issue number2
DOIs
StatePublished - Jun 2021

Keywords

  • FI-modules
  • local cohomology
  • regularity

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