Picard Groups of Hypersurfaces in Toric Varieties
  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. 
Shi-shyr Roan
math.AG hep-th