Geodesic
K3 fibrations on rigid double octic Calabi–Yau threefolds
Paweł Borówka1
1 Institute of Mathematics Jagiellonian University Kraków Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 229-241.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap3872-4-2016
Keywords: description picard group double octic calabi yau threefolds using fibration defined singular line branch octic particular group generated picard group generic fibre subgroup generated components reducible fibres

Paweł Borówka 1

1 Institute of Mathematics Jagiellonian University Kraków Łojasiewicza 6 30-348 Kraków, Poland 
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Paweł Borówka. K3 fibrations on rigid double octic Calabi–Yau threefolds. Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 229-241. doi : 10.4064/ap3872-4-2016. http://geodesic.mathdoc.fr/articles/10.4064/ap3872-4-2016/

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