Toric degenerations and Batyrev-Borisov duality
نویسندگان
چکیده
منابع مشابه
Toric Degenerations and Batyrev-borisov Duality
In [5], Bernd Siebert and I introduced the notion of a toric degeneration of CalabiYau varieties. The initial goal is to produce a method of constructing mirror pairs which combines the Strominger-Yau-Zaslow (differential geometric) approach to mirror symmetry and the older Batyrev-Borisov (algebro-geometric) approach to mirror symmetry. Our belief is that in doing so we will produce a new, muc...
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We prove that any affine, resp. polarized projective, spherical variety admits a flat degeneration to an affine, resp. polarized projective, toric variety. Motivated by Mirror Symmetry, we give conditions for the limit toric variety to be a Gorenstein Fano, and provide many examples. We also provide an explanation for the limits as boundary points of the moduli space of stable pairs whose exist...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2005
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-005-0686-7