具有3、4、7区别的奇异K3曲面的几何性质

IF 0.4 4区数学 Q4 MATHEMATICS

Kodai Mathematical Journal Pub Date : 2019-03-07 DOI:10.2996/kmj/kmj45110

Taiki Takatsu

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引用次数: 0

摘要

我们给出了具有判别式3和判别式4的奇异K3曲面在投影平面上的双覆盖的构造。着眼于它们分支轨迹的相似性，我们可以推广这种构造，并得到某些K3曲面的三维模空间，该空间允许无限个自同构群。此外，我们表明，这些K3表面的特征在于奇异纤维的配置和整体截面，以及周期。

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On the geometry of singular K3 surfaces with discriminant 3, 4 and 7

We give construction of singular K3 surfaces with discriminant 3 and 4 as double coverings over the projective plane. Focusing on the similarities in their branching loci, we can generalize this construction, and obtain a three dimensional moduli space of certain K3 surfaces which admit infinite automorphism groups. Moreover, we show that these K3 surfaces are characterized in terms of the configuration of the singular fibres and a global section, and also in terms of periods.

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来源期刊

Kodai Mathematical Journal 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.