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GL-algebras in positive characteristic I: the exterior algebra

Published 7 Mar 2022 in math.AC and math.RT | (2203.03693v2)

Abstract: We study the category of GL-equivariant modules over the infinite exterior algebra in positive characteristic. Our main structural result is a shift theorem a la Nagpal. Using this, we obtain a Church--Ellenberg type bound for the Castelnuovo--Mumford regularity. We also prove finiteness results for local cohomology.

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Authors (1)

  1. Karthik Ganapathy 

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