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arXiv · 1206.2499

Okounkov bodies of finitely generated divisors

Dave Anderson·Alex Küronya·Victor Lozovanu
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Abstract

We show that the Okounkov body of a big divisor with finitely generated section ring is a rational simplex, for an appropriate choice of flag; furthermore, when the ambient variety is a surface, the same holds for every big divisor. Under somewhat more restrictive hypotheses, we also show that the corresponding semigroup is finitely generated.

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Dave Anderson, Alex Küronya, Victor Lozovanu. 2012-06-12. Okounkov bodies of finitely generated divisors. https://arxiv.org/abs/1206.2499

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