K3 surfaces with an automorphism of order 66, the maximum possible

JongHae Keum

K3 surfaces with an automorphism of order 66, the maximum possible

Algebraic Geometry 2014-03-11 v2

Authors: JongHae Keum

Abstract

In each characteristic $p\neq 2, 3$ , it was shown in a previous work that the order of an automorphism of a K3 surface is bounded by 66, if finite. Here, it is shown that in each characteristic $p\neq 2, 3$ a K3 surface with a cyclic action of order 66 is unique up to isomorphism. The equation of the unique surface is given explicitly in the tame case ( $p\nmid 66$ ) and in the wild case ( $p=11$ ).

Keywords

K3 surfaces automorphism cyclic action isomorphism tame and wild cases

Cite

@article{arxiv.1402.6803,
  title  = {K3 surfaces with an automorphism of order 66, the maximum possible},
  author = {JongHae Keum},
  journal= {arXiv preprint arXiv:1402.6803},
  year   = {2014}
}

Comments

12 papges. arXiv admin note: text overlap with arXiv:1204.1711

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