Classification of Enriques surfaces with finite automorphism group in characteristic 2

Toshiyuki Katsura; Shigeyuki Kondo; Gebhard Martin

Classification of Enriques surfaces with finite automorphism group in characteristic 2

Algebraic Geometry 2019-05-17 v3

Authors: Toshiyuki Katsura , Shigeyuki Kondo , Gebhard Martin

Abstract

We classify supersingular and classical Enriques surfaces with finite automorphism group in characteristic 2 into 8 types according to their dual graphs of all $(-2)$ -curves (nonsigular rational curves). We give examples of these Enriques surfaces together with their canonical coverings. It follows that the classification of all Enriques surfaces with finite automorphism group in any characteristics has been finished.

Keywords

Enriques surfaces finite automorphism group characteristic 2 supersingular dual graphs canonical coverings

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@article{arxiv.1703.09609,
  title  = {Classification of Enriques surfaces with finite automorphism group in characteristic 2},
  author = {Toshiyuki Katsura and Shigeyuki Kondo and Gebhard Martin},
  journal= {arXiv preprint arXiv:1703.09609},
  year   = {2019}
}

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Classification of Enriques surfaces with finite automorphism group in characteristic 2

Abstract

Keywords

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