Okounkov bodies associated to pseudoeffective divisors II

Sung Rak Choi, Jinhyung Park, Joonyeong Won

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)601-620
Number of pages20
JournalTaiwanese Journal of Mathematics
Volume21
Issue number3
DOIs
Publication statusPublished - 2017 Jan 1

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Divisor
Polytope
Finitely Generated
Limiting
Ring
Decompose

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Choi, Sung Rak ; Park, Jinhyung ; Won, Joonyeong. / Okounkov bodies associated to pseudoeffective divisors II. In: Taiwanese Journal of Mathematics. 2017 ; Vol. 21, No. 3. pp. 601-620.
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Okounkov bodies associated to pseudoeffective divisors II. / Choi, Sung Rak; Park, Jinhyung; Won, Joonyeong.

In: Taiwanese Journal of Mathematics, Vol. 21, No. 3, 01.01.2017, p. 601-620.

Research output: Contribution to journalArticle

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