具有正特征的有限自同构群的Enriques曲面

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-03-24 DOI:10.14231/ag-2019-027

G. Martin

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引用次数: 24

摘要

我们对具有光滑K3覆盖和有限自同构群的任意正特征的Enriques曲面进行了分类。除了一些类型在小特征上缺失外，分类与在复数上相同。此外，我们给出了这些曲面的模的完整描述。最后，我们在素域$\mathbb{F}_p$和$\mathbb{Q}$上实现了所有类型的具有有限自同构群的Enriques曲面，只要它们存在。

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Enriques surfaces with finite automorphism group in positive characteristic

We classify Enriques surfaces with smooth K3 cover and finite automorphism group in arbitrary positive characteristic. The classification is the same as over the complex numbers except that some types are missing in small characteristics. Moreover, we give a complete description of the moduli of these surfaces. Finally, we realize all types of Enriques surfaces with finite automorphism group over the prime fields $\mathbb{F}_p$ and $\mathbb{Q}$ whenever they exist.

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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.