Toric Degenerations of Fano Varieties and Constructing Mirror Manifolds
Batyrev, Victor V.
Original · EN
For an arbitrary smooth n-dimensional Fano variety X we introduce the notion of a small toric degeneration. Using small toric degenerations of Fano n-folds X, we propose a general method for constructing mirrors of Calabi-Yau complete intersections in X. Our mirror construction is based on a generalized monomial-divisor mirror correspondence which can be used for computing Gromov-Witten invariants of rational curves via specializations of GKZ-hypergeometric series.
English translation
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