On the categorical entropy of the Frobenius pushforward functor

Published 27 Jul 2022 in math.AC and math.RT | (2207.13774v1)

Abstract: In this paper, we consider the Frobenius pushforward endofunctor $F_\ast$ of the bounded derived category of finitely generated modules over an $F$-finite noetherian local ring. We completely determine the categorical entropy of $F_\ast$ in the sense of Dimitrov, Haiden, Katzarkov, and Kontsevich.

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