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Double cover K3 surfaces of Hirzebruch surfaces

  • Taro Hayashi EMAIL logo
From the journal Advances in Geometry


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.

  1. Communicated by: I. Coskun


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Received: 2018-12-03
Revised: 2019-05-01
Revised: 2019-07-10
Published Online: 2021-04-16
Published in Print: 2021-04-27

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