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arxiv: 1703.09609 · v3 · pith:QM6S323Rnew · submitted 2017-03-28 · 🧮 math.AG

Classification of Enriques surfaces with finite automorphism group in characteristic 2

classification 🧮 math.AG
keywords enriquessurfacesautomorphismfinitegroupcharacteristicclassificationcurves
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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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