Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties

Details Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties

1993-10-02

arxiv.org/abs/alg-geom/9310001v1

Mathematics

Algebraic Geometry

6 pages, Latex file

Scientific paper

We propose a combinatorical duality for lattice polyhedra which conjecturally
gives rise to the pairs of mirror symmetric families of Calabi-Yau complete
intersections in toric Fano varieties with Gorenstein singularities. Our
construction is a generalization of the polar duality proposed by Batyrev for
the case of hypersurfaces.

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