Okounkov bodies and toric degenerations

Details Okounkov bodies and toric degenerations Okounkov bodies and toric degenerations

2010-01-25

arxiv.org/abs/1001.4566v2

Mathematics

Algebraic Geometry

20 pages, 2 figures; uses PSTricks and Paul Taylor's commutative diagrams; v2 is a major revision correcting errors in Lemma 2

Scientific paper

Let \Delta be the Okounkov body of a divisor D on a projective variety X. We
describe a geometric criterion for \Delta 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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