@article{a68259ae6dd249fa9933939b9b268f2c,
title = "Local Numerical Equivalences and Okounkov Bodies in Higher Dimensions",
abstract = "We continue to explore the numerical nature of the Okounkov bodies focusing on the local behaviors near given points. More precisely, we show that the set of Okounkov bodies of a pseudoeffective divisor with respect to admissible flags centered at a fixed point determines the local numerical equivalence class of divisors, which is defined in terms of refined divisorial Zariski decompositions. Our results extend Ro{\'e}{\textquoteright}s work [R] on surfaces to higher-dimensional varieties although our proof is essentially different in nature.",
author = "Choi, {Sung Rak} and Jinhyung Park and Joonyeong Won",
note = "Funding Information: S. Choi and J. Park were partially supported by the National Research Foundation of Korea (NRF-2016R1C1B2011446). J. Won was supported by the National Research Foundation of Korea (NRF-2020R1A2C1A01008018) and a KIAS Individual Grant (SP037003) via the Center for Mathematical Challenges at Korea Institute for Advanced Study. Publisher Copyright: {\textcopyright} 2022 University of Michigan. All rights reserved.",
year = "2022",
doi = "10.1307/mmj/20195797",
language = "English",
volume = "71",
pages = "347--372",
journal = "Michigan Mathematical Journal",
issn = "0026-2285",
publisher = "University of Michigan",
number = "2",
}