Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces

Details Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces

2001-07-20

arxiv.org/abs/math/0107152v1

Mathematics

Algebraic Geometry

LaTeX, 25 Pages

Scientific paper

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.

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