Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces

Mainak Poddar

Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces

Algebraic Geometry 2007-05-23 v1

Authors: Mainak Poddar

Abstract

We identify the twisted sectors of a compact simplicial toric variety. We do the same for a generic nondegenerate Calabi-Yau hypersurface of an $n$ -dimensional simplicial Fano toric variety and then explicitly compute $h^{1,1}_{orb}$ and $h^{n-2,1}_{orb}$ for the hypersurface. We give applications to the orbifold string theory conjecture and orbifold mirror symmetry.

Keywords

orbifold hodge numbers calabi-yau hypersurfaces simplicial toric varieties twisted sectors orbifold mirror symmetry fano toric variety

Cite

@article{arxiv.math/0107152,
  title  = {Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces},
  author = {Mainak Poddar},
  journal= {arXiv preprint arXiv:math/0107152},
  year   = {2007}
}

Comments

LaTeX, 25 Pages

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