Global $F$-splitting of surfaces admitting an int-amplified endomorphim

DOI10.1007/S00229-021-01331-5arXiv1911.01181MaRDI QIDQ6328471

Shou Yoshikawa

Publication date: 4 November 2019

Abstract: In this paper, we study the global $F$-splitting of varieties admitting an int-amplified endomoprhism. We prove that surfaces admitting an int-amplified endomorphism are of dense globally $F$-split type and, in particular, of Calabi-Yau type.

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Automorphisms and endomorphisms of algebraic structures (08A35) Positive characteristic ground fields in algebraic geometry (14G17)

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