Double cover K3 surfaces of Hirzebruch surfaces

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-04-01 DOI:10.1515/advgeom-2020-0034

Taro Hayashi

引用次数: 2

Abstract

Abstract General K3 surfaces obtained as double covers of the n-th Hirzebruch surfaces with n = 0, 1, 4 are not double covers of other smooth surfaces. We give a criterion for such a K3 surface to be a double covering of another smooth rational surface based on the branch locus of double covers and fibre spaces of Hirzebruch surfaces.

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Hirzebruch表面的双层K3表面

一般的K3曲面作为n = 0,1,4的第n个Hirzebruch曲面的双覆盖，不是其他光滑曲面的双覆盖。基于双覆盖的分支轨迹和Hirzebruch曲面的纤维空间，给出了这种K3曲面是另一个光滑有理曲面的双覆盖的判据。

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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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.