A remark on FI-module homology

Liping Li; Wee Liang Gan

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A remark on FI-module homology

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arxiv 1505.01777 v4 pith:CVX6XT77 submitted 2015-05-07 math.RA math.RT

Wee Liang Gan , Liping Li This is my paper · ORCID

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keywords fi-moduleapplicationcastelnuovo-mumfordcomplexcomputeddegreeequalfi-homology

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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.

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