Okounkov bodies and toric degenerations |
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| Authors: | Dave Anderson |
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| Affiliation: | 1. Department of Mathematics, University of Washington, Seattle, WA, 98195, USA
2. Institut de Mathématiques de Jussieu, 75013, Paris, France
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| Abstract: | Let $varDelta $ be the Okounkov body of a divisor $D$ on a projective variety $X$ . We describe a geometric criterion for $varDelta $ to be a lattice polytope, and show that in this situation $X$ admits a flat degeneration to the corresponding toric variety. This degeneration is functorial in an appropriate sense. |
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