Classification of Enriques surfaces with finite automorphism group in characteristic 2

Toshiyuki Katsura; Shigeyuki Kondo; Gebhard Martin

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arXiv · 1703.09609

Classification of Enriques surfaces with finite automorphism group in characteristic 2

Toshiyuki Katsura·Shigeyuki Kondo·Gebhard Martin

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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.

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Toshiyuki Katsura, Shigeyuki Kondo, Gebhard Martin. 2017-03-28. Classification of Enriques surfaces with finite automorphism group in characteristic 2. https://arxiv.org/abs/1703.09609

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