Double cover K3 surfaces of Hirzebruch surfaces-Reference-Cited by-同舟云学术

Double cover K3 surfaces of Hirzebruch surfaces

Published:2021-04-01 Issue:2 Volume:21 Page:221-225
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Hayashi Taro¹

Affiliation:

1. Faculty of Agriculture , Kindai University , Nakamaticho 3327-204 , Nara , Nara , Japan

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2020-0034/pdf

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