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

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

2003-09-15

arxiv.org/abs/math/0309239v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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