Toric degenerations of spherical varieties

Details Toric degenerations of spherical varieties Toric degenerations of spherical varieties

2004-03-23

arxiv.org/abs/math/0403379v1

Mathematics

Algebraic Geometry

22 pages, 1 figure

Scientific paper

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 existence is predicted by the Minimal Model Program.

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