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Mirror duality and string-theoretic Hodge numbers

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Inventiones mathematicae Aims and scope

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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Authors and Affiliations

  1. Universität-GHS-Essen, Fachbereich 6, Mathematik, Universitätsstrasse 3, D-45141 Essen, Germany; e-mail: victor.batyrev@uni-essen.de, , , , , , DE

    Victor V. Batyrev

  2. Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1003, USA; e-mail: lborisov@math.lsa.umich.edu, , , , , , US

    Lev A. Borisov

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  1. Victor V. Batyrev
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  2. Lev A. Borisov
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Oblatum 9-X-1995 & 11-III-1996

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

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  • DOI: https://doi.org/10.1007/s002220050093

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