REGULARITY OF FI-MODULES AND LOCAL COHOMOLOGY

We resolve a conjecture of Ramos and Li that relates the regularity of an FI-module to its local cohomology groups. This is an analogue of the familiar relationship between regularity and local cohomology in commutative algebra.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2018-10, Vol.146 (10), p.4117-4126
Main Authors: NAGPAL, ROHIT, SAM, STEVEN V, SNOWDEN, ANDREW
Format: Article
Language:English
Subjects:
A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
Online Access:Get full text
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Description
Summary:We resolve a conjecture of Ramos and Li that relates the regularity of an FI-module to its local cohomology groups. This is an analogue of the familiar relationship between regularity and local cohomology in commutative algebra.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14121