Toric degenerations of spherical varieties
Algebraic Geometry
2007-05-23 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.math/0403379,
title = {Toric degenerations of spherical varieties},
author = {Valery Alexeev and Michel Brion},
journal= {arXiv preprint arXiv:math/0403379},
year = {2007}
}
Comments
22 pages, 1 figure