Picard Groups of Hypersurfaces in Toric Varieties

Details Picard Groups of Hypersurfaces in Toric Varieties Picard Groups of Hypersurfaces in Toric Varieties

2011-06-08

arxiv.org/abs/1106.1615v1

RIMS Kyoto Univ.32:797-834,1996

Mathematics

Algebraic Geometry

Latex 27 Pages

Scientific paper

We study the structure of rational Picard groups of hypersurfaces of toric
varieties. By using the fan structure associated to the ambient toric variety,
an explicit basis of the Picard group is described by certain combinatorial
data. We shall also discuss the application to Calabi-Yau spaces.

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