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arXiv · 1001.4566

Okounkov bodies and toric degenerations

Dave Anderson
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Abstract

Let Δbe the Okounkov body of a divisor D on a projective variety X. We describe a geometric criterion for Δto 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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Dave Anderson. 2012-10-30. Okounkov bodies and toric degenerations. https://arxiv.org/abs/1001.4566

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