Deformations of Calabi-Yau hypersurfaces arising from deformations of toric varieties

Abstract

There are easy "polynomial" deformations of Calabi-Yau hypersurfaces in toric varieties performed by changing the coefficients of the defining polynomial of the hypersurface. In this paper, we explicitly constructed the ``non-polynomial'' deformations of Calabi-Yau hypersurfaces, which arise from deformations of the ambient toric variety.

References in corpus (2)

• Mirror symmetry for open strings
• Search for Decays of B^{0} Mesons into Pairs of Leptons: B{0} -> e^{+}e^{-}, B^{0} -> μ^{+}μ^{-} and B^{0} -> e^{\pm}μ^{\mp}

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