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A Product Formula for Volumes of Divisors Via Okounkov Bodies

  • Published:2018-10-08 Issue:22 Volume:2019 Page:7118-7137
  • ISSN:1073-7928
  • Container-title:International Mathematics Research Notices
  • language:en
  • Short-container-title:

Author:

Choi Sung Rak1,Jung Seung-Jo2,Park Jinhyung3,Won Joonyeong4

Affiliation:

1. Department of Mathematics, Yonsei University, Seoul, Korea

2. Department of Mathematical Sciences, Seoul National University, Seoul, Korea

3. Department of Mathematics, Sogang University, Seoul, Korea

4. School of Mathematics, Korea Institute for Advanced Study, Seoul, Korea

Abstract

Abstract We generalize Kawamata’s product formula for volumes of canonical divisors to arbitrary divisors using Okounkov bodies.

Funder

National Research Foundation of Korea

Ministry of Science, ICT and Future Planning

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference21 articles.

1. Orbifolds, special varieties and classification theory;Campana;Ann. Inst. Fourier (Grenoble),2004

2. Asymptotic base loci via Okounkov bodies;Choi;Adv. Math.,2018

3. Okounkov bodies associated to pseudoeffective divisors;Choi;J. Lond. Math. Soc. (2),2018

4. Okounkov bodies associated to pseudoeffective divisors II;Choi,2017

5. Restricted volumes and base loci of linear series;Ein;Amer. J. Math.,2009

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Algebraic reverse Khovanskii–Teissier inequality via Okounkov bodies;Mathematische Zeitschrift;2023-09-25

2. On Subadditivity of Okounkov Bodies for Algebraic Fiber Spaces;International Mathematics Research Notices;2022-12-05
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