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arXiv · 2207.13774

On the categorical entropy of the Frobenius pushforward functor

Hiroki Matsui·Ryo Takahashi
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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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Hiroki Matsui, Ryo Takahashi. 2022-07-27. On the categorical entropy of the Frobenius pushforward functor. https://arxiv.org/abs/2207.13774

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