Mirror duality and string-theoretic Hodge numbers

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Abstract

We prove in full generality the mirror duality conjecture for string-theoretic Hodge numbers of Calabi-Yau complete intersections in Gorenstein toric Fano varieties. The proof is based on properties of intersection cohomology.

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Batyrev, V. V., & Borisov, L. A. (1996). Mirror duality and string-theoretic Hodge numbers. Inventiones Mathematicae, 126(1), 183–203. https://doi.org/10.1007/s002220050093

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