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2017 Okounkov Bodies Associated to Pseudoeffective Divisors II
Sung Rak Choi, Jinhyung Park, Joonyeong Won
Taiwanese J. Math. 21(3): 601-620 (2017). DOI: 10.11650/tjm/8097

Abstract

We first prove some basic properties of Okounkov bodies and give a characterization of Nakayama and positive volume subvarieties of a pseudoeffective divisor in terms of Okounkov bodies. Next, we show that each valuative and limiting Okounkov bodies of a pseudoeffective divisor which admits the birational good Zariski decomposition is a rational polytope with respect to some admissible flag. This is an extension of the result of Anderson-Küronya-Lozovanu about the rational polyhedrality of Okounkov bodies of big divisors with finitely generated section rings.

Citation

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Sung Rak Choi. Jinhyung Park. Joonyeong Won. "Okounkov Bodies Associated to Pseudoeffective Divisors II." Taiwanese J. Math. 21 (3) 601 - 620, 2017. https://doi.org/10.11650/tjm/8097

Information

Published: 2017
First available in Project Euclid: 1 July 2017

zbMATH: 06871334
MathSciNet: MR3661383
Digital Object Identifier: 10.11650/tjm/8097

Subjects:
Primary: 14C20

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

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Vol.21 • No. 3 • 2017
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