A Product Formula for Volumes of Divisors Via Okounkov Bodies

Sung Rak Choi; Seung Jo Jung; Jinhyung Park; Joonyeong Won

doi:10.1093/imrn/rnz199

A Product Formula for Volumes of Divisors Via Okounkov Bodies

Sung Rak Choi
, Seung Jo Jung
, Jinhyung Park
, Joonyeong Won

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	7118-7137
Number of pages	20
Journal	International Mathematics Research Notices
Volume	2019
Issue number	22
DOIs	https://doi.org/10.1093/imrn/rnz199
State	Published - 18 Nov 2019

Bibliographical note

Funding Information:
This work was partially supported by the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science, ICT and Future Planning (S. Choi and J. Park: NRF-2016R1C1B2011446, S.-J. Jung: NRF-2017R1C1B1005166).

Publisher Copyright:
© 2019 The Author(s) 2018. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].

Access to Document

10.1093/imrn/rnz199

Cite this

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abstract = "We generalize Kawamata's product formula for volumes of canonical divisors to arbitrary divisors using Okounkov bodies.",

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note = "Funding Information: This work was partially supported by the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science, ICT and Future Planning (S. Choi and J. Park: NRF-2016R1C1B2011446, S.-J. Jung: NRF-2017R1C1B1005166). Publisher Copyright: {\textcopyright} 2019 The Author(s) 2018. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].",

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