On the categorical entropy of the Frobenius pushforward functor

arXiv (Cornell University)（2023）

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Abstract

In this paper, we consider the Frobenius pushforward endofunctor F*${F}_{\ast}$ of the bounded derived category of finitely generated modules over an F$F$-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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Key words

categorical entropy

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