椭圆曲面的modell - weil群和自同构群

IF 1.3 2区数学 Q1 MATHEMATICS Revista Matematica Iberoamericana 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

Revista Matematica Iberoamericana 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.

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