特征2上有限自同构群的Enriques曲面的分类

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2017-03-28 DOI:10.14231/ag-2020-012

T. Katsura, S. Kondō, G. Martin

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引用次数: 14

摘要

根据所有$(-2)$-曲线(非奇异有理曲线)的对偶图，将特征2上有限自同构群的超奇异和经典Enriques曲面划分为8类。我们给出这些恩里克曲面的例子以及它们的正则覆盖。由此得出，在任意特征下，所有具有有限自同构群的Enriques曲面的分类已经完成。

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Classification of Enriques surfaces with finite automorphism group in characteristic 2

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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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.