$K3$曲面族和（2,3）-环面型曲线

IF 0.4 4区数学 Q4 MATHEMATICS

Kodai Mathematical Journal Pub Date : 2019-02-06 DOI:10.2996/kmj/1572487224

Makiko Mase

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引用次数: 2

摘要

我们研究了沿$(2,3)$-环型曲线的投影平面分支的双覆盖得到的$K3$曲面族。在第一部分中，我们研究了族的皮卡德格，以及它们的格对偶性。在第二部分中，我们描述了这些族中Gorenstein $K3$曲面奇异点的变形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Families of $K3$ surfaces and curves of (2,3)-torus type

We study families of $K3$ surfaces obtained by double covering of the projective plane branching along curves of $(2,3)$-torus type. In the first part, we study the Picard lattices of the families, and a lattice duality of them. In the second part, we describe a deformation of singularities of Gorenstein $K3$ surfaces in these families.

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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.