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Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces

Mainak Poddar
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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.

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Mainak Poddar. 2001-07-20. Orbifold Hodge Numbers of Calabi-Yau Hypersurfaces. https://arxiv.org/abs/math/0107152

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