Regularity of 𝐅𝐈-modules and local cohomology

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 05 Jul 2018Embargo end date: 01 Jan 2017 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 146, pages 4,117-4,126 (issn: 0002-9939, eissn: 1088-6826,

Copyright policy )Funded by:NSF | CAREER: Combinatorial Cat..., NSF | Interactions between Comm..., NSF | Twisted commutative algeb...

Authors: Nagpal, Rohit; Sam, Steven V; Snowden, Andrew;

doi: 10.1090/proc/14121 , 10.48550/arxiv.1703.06832

arXiv: 1703.06832

Regularity of 𝐅𝐈-modules and local cohomology

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Abstract

We resolve a conjecture of Ramos and Li that relates the regularity of an F I \mathbf {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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Keywords

FOS: Mathematics, 13D45, 20C30, Representation Theory (math.RT), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Mathematics - Representation Theory

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