K3 fibrations on rigid double octic Calabi-Yau threefolds

• Autorzy: Paweł Borówka
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14J32: Calabi-Yau manifolds
• 14D06: Fibrations, degenerations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 116
• Numer: 3
• Strony: 229-241

Daty

wydano

2016

Twórcy

autor

Paweł Borówka

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

Identyfikatory

DOI

10.4064/ap3872-4-2016