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K3 fibrations on rigid double octic Calabi–Yau threefolds

Volume 116 / 2016

Paweł Borówka Annales Polonici Mathematici 116 (2016), 229-241 MSC: Primary 14J32; Secondary 14D06. DOI: 10.4064/ap3872-4-2016 Published online: 18 May 2016

Abstract

We give a description of the Picard group of double octic Calabi–Yau threefolds using a K3 fibration defined by a singular line of the branch octic. In particular, we show that the group is generated by the Picard group of a generic fibre and the subgroup generated by the components of the reducible fibres.

Authors

  • Paweł BorówkaInstitute of Mathematics
    Jagiellonian University Kraków
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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