On the categorical entropy of the Frobenius pushforward functor

preprint2022arXivOpen access

Abstract

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

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