论文标题

在Frobenius Pushforward函数的分类熵上

On the categorical entropy of the Frobenius pushforward functor

论文作者

Matsui, Hiroki, Takahashi, Ryo

论文摘要

在本文中,我们考虑了Frobenius Pushforward endofunctor $ f_ \ ast $的有限生成的模块的有限派生类别,上面是$ f $ fiNite的noetherian localian local环。在Dimitrov,Haiden,Katzarkov和Kontsevich的意义上,我们完全确定了$ f_ \ ast $的分类熵。

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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