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arXiv · 1607.04135

Stringy Chern classes of singular toric varieties and their applications

Victor Batyrev·Karin Schaller
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Abstract

Let X be a normal projective Q-Gorenstein variety with at worst log-terminal singularities. We prove a formula expressing the total stringy Chern class of a generic complete intersection in X via the total stringy Chern class of X. This formula is motivated by its applications to mirror symmetry for Calabi-Yau complete intersections in toric varieties. We compute stringy Chern classes and give a combinatorial interpretation of the stringy Libgober-Wood identity for arbitrary projective Q-Gorenstein toric varieties. As an application we derive a new combinatorial identity relating d-dimensional reflexive polytopes to the number 12 in dimension d>3.

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Victor Batyrev, Karin Schaller. 2016-07-14. Stringy Chern classes of singular toric varieties and their applications. https://arxiv.org/abs/1607.04135

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