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On the categorical entropy of the Frobenius pushforward functor

Commutative Algebra 2022-07-29 v1 Representation Theory

Abstract

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

Keywords

Cite

@article{arxiv.2207.13774,
  title  = {On the categorical entropy of the Frobenius pushforward functor},
  author = {Hiroki Matsui and Ryo Takahashi},
  journal= {arXiv preprint arXiv:2207.13774},
  year   = {2022}
}

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11 pages