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Picard Groups of Hypersurfaces in Toric Varieties

Algebraic Geometry 2011-07-26 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1106.1615,
  title  = {Picard Groups of Hypersurfaces in Toric Varieties},
  author = {Shi-shyr Roan},
  journal= {arXiv preprint arXiv:1106.1615},
  year   = {2011}
}

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Latex 27 Pages