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.
机构:
Russian Acad Sci, Steklov Math Inst, Moscow, Russia
Univ Liverpool, Dept Math Sci, Liverpool, Merseyside, EnglandRussian Acad Sci, Steklov Math Inst, Moscow, Russia
机构:
Osaka Univ, Dept Math, Toyonaka, Osaka 5600043, Japan
Korea Inst Adv Study, Seoul 130722, South KoreaOsaka Univ, Dept Math, Toyonaka, Osaka 5600043, Japan