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Okounkov bodies associated to pseudoeffective divisors II
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- Title
- Okounkov bodies associated to pseudoeffective divisors II
- Author(s)
- Sung Rak Choi; Jinhyung Park; Joonyeong Won
- Publication Date
- 2017-06
- Journal
- TAIWANESE JOURNAL OF MATHEMATICS, v.21, no.3, pp.601 - 620
- Publisher
- MATHEMATICAL SOC REP CHINA
- 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. © 2017, Mathematical Society of the Rep. of China. All rights reserved
- ISSN
- 1027-5487
- Appears in Collections:
- Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
- Files in This Item:
- 2017_JYW_Okounkov bodies associated to pseudoeffective divisors II.pdfDownload
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Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
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