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K3 fibrations on rigid double octic Calabi-Yau threefolds

Paweł Borówka (2016)

Annales Polonici Mathematici

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.

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