椭圆曲面的modell - weil群和自同构群

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-24 DOI:10.4171/rmi/1449

Ichiro Shimada

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引用次数: 1

摘要

给出了一种计算椭圆曲面上的modell - weil群对曲面上的数值nsamron - severi格的作用的方法。作为应用，我们计算了沿环型六尖六分形曲线分支的双平面的$K3$曲面的自同构群的有限生成集。

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Mordell–Weil groups and automorphism groups of elliptic $K3$ surfaces

We present a method to calculate the action of the Mordell–Weil group of an elliptic $K3$ surface on the numerical Néron–Severi lattice of the $K3$ surface. As an application, we compute a finite generating set of the automorphism group of a $K3$ surface birational to the double plane branched along a 6-cuspidal sextic curve of torus type.

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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.