Abstract
We investigate int-amplified endomorphisms on normal projective surfaces. We prove that the output of the equivariant MMP is either a Q-abelian surface, a (equivariant) quasi-étale quotient of a smooth projective surface, a Mori dream space, or a projective cone of an elliptic curve.
Funding Statement
The authors are supported by the Program for Leading Graduate
Schools, MEXT, Japan. The first author is supported by JSPS Research Fellowship for Young
Scientists and KAKENHI Grant Number 18J11260.
Acknowledgments
The authors would like to thank Sho Ejiri, Makoto Enokizono, Takeru Fukuoka, and Kenta Hashizume for answering their questions.
Citation
Yohsuke Matsuzawa. Shou Yoshikawa. "Int-amplified Endomorphisms on Normal Projective Surfaces." Taiwanese J. Math. 25 (4) 681 - 697, August, 2021. https://doi.org/10.11650/tjm/210101
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