K3 surface entropy and automorphism groups

Yu, Xun

doi:10.1090/jag/828

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K3 surface entropy and automorphism groups

Author: Xun Yu
Journal: J. Algebraic Geom.
DOI: https://doi.org/10.1090/jag/828
Published electronically: March 27, 2024
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Abstract | References | Additional Information

Abstract: We derive a characterization of the complex projective K3 surfaces which have automorphisms of positive entropy in terms of their Néron–Severi lattices. Along the way, we classify the projective K3 surfaces of zero entropy with infinite automorphism groups and we determine the projective K3 surfaces of Picard number at least five with almost abelian automorphism groups, which gives an answer to a long standing question of Nikulin.

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Additional Information

Xun Yu
Affiliation: Center for Applied Mathematics, Tianjin University, 92 Weijin Road, Nankai District, Tianjin 300072, Peoples’ Republic of China
MR Author ID: 1178446
Email: xunyu@tju.edu.cn

Received by editor(s): November 16, 2022
Received by editor(s) in revised form: September 9, 2023
Published electronically: March 27, 2024
Additional Notes: This work was partially supported by the National Natural Science Foundation of China (No. 12071337, No. 11701413, No. 11831013, No. 11921001).
Article copyright: © Copyright 2024 University Press, Inc.

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