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

^*Corresponding author for this work

Department of Mathematics Education

Yonsei University
Seoul National University
Sogang University
Korea Institute for Advanced Study

Research output: Contribution to journal › 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 - 2019.11.18

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10.1093/imrn/rnz199

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title = "A Product Formula for Volumes of Divisors Via Okounkov Bodies",

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

author = "Choi, \{Sung Rak\} and Jung, \{Seung Jo\} and Jinhyung Park and Joonyeong Won",

year = "2019",

month = nov,

day = "18",

doi = "10.1093/imrn/rnz199",

language = "English",

volume = "2019",

pages = "7118--7137",

journal = "International Mathematics Research Notices",

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AU - Choi, Sung Rak

AU - Jung, Seung Jo

AU - Park, Jinhyung

AU - Won, Joonyeong

PY - 2019/11/18

Y1 - 2019/11/18

N2 - We generalize Kawamata's product formula for volumes of canonical divisors to arbitrary divisors using Okounkov bodies.

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

UR - https://www.scopus.com/pages/publications/85076568280

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DO - 10.1093/imrn/rnz199

M3 - Journal article

AN - SCOPUS:85076568280

SN - 1073-7928

VL - 2019

SP - 7118

EP - 7137

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 22

ER -

A Product Formula for Volumes of Divisors Via Okounkov Bodies

Abstract

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