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

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.

27 pages. arXiv admin note: substantial text overlap with arXiv:1908.11537; text overlap with arXiv:1305.3056, arXiv:1201.1133, arXiv1307.8188 by other authors

References in corpus (2)

• Introduction to the log minimal model program for log canonical pairs
• Int-amplified endomorphisms on normal projective surfaces