On the categorical entropy of the Frobenius pushforward functor

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 ...

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Bibliographic Details
Published in:The Bulletin of the London Mathematical Society 2023-06, Vol.55 (3), p.1358-1372
Main Authors: Matsui, Hiroki, Takahashi, Ryo
Format: Article
Language:English
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Summary: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.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.12796