Bull. Korean Math. Soc. 2023; 60(6): 1427-1437
Online first article November 16, 2023 Printed November 30, 2023
https://doi.org/10.4134/BKMS.b220371
Copyright © The Korean Mathematical Society.
Kwangwoo Lee
Chungnam National University
It is known that the automorphism group of a K3 surface with Picard number two is either an infinite cyclic group or an infinite dihedral group when it is infinite. In this paper, we study the generators of such automorphism groups. We use the eigenvector corresponding to the spectral radius of an automorphism of infinite order to determine the generators.
Keywords: K3 surface, automorphism, Pell equation
MSC numbers: Primary 14J28, 14J50
Supported by: The author was supported by National Research Foundation of Korea(NRF-2020R1 I1A1A01073662) and National Research Foundation of Korea(NRF-2021R1A4A3033098) grant funded by the Korea government(MSIT).
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