特征2上有限自同构群的Enriques曲面的分类

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.