Bulletin of the Korean Mathematical Society (대한수학회보)

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AUTOMORPHISMS OF K3 SURFACES WITH PICARD NUMBER TWO

  • Kwangwoo Lee (Department of Mathematics Chungnam National University)
  • Received : 2022.05.30
  • Accepted : 2023.09.22
  • Published : 2023.11.30
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Abstract

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

Acknowledgement

The author would like to thank the referee for the careful reading of the paper and many helpful suggestions.

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