PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

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


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.


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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image