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.
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Acknowledgements
The author wishes to express his gratitude to his supervisor Professor Shunsuke Takagi for his encouragement, valuable advice and suggestions. He is also grateful to Professor Yoshinori Gongyo, Professor Andreas Höring, Professor Amëal Broustet, Professor Sébastien Boucksom, Professor Makoto Enokizono, Dr. Kenta Sato, Dr. Kenta Hashizume, Dr. Yohsuke Matsuzawa, Dr. Sho Ejiri, Dr. Teppei Takamatsu, Professor Osamu Fujino, Professor Noboru Nakayama for their helpful comments and suggestions. He especially thanks the anonymous referees for the useful comments that significantly improved this paper. This work was supported by the Program for Leading Graduate Schools, MEXT, Japan.
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Yoshikawa, S. Global F-splitting of surfaces admitting an int-amplified endomorphism. manuscripta math. 169, 271–296 (2022). https://doi.org/10.1007/s00229-021-01331-5
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DOI: https://doi.org/10.1007/s00229-021-01331-5