A remark on FI-module homology
classification
🧮 math.RA
math.RT
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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