DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Sung Rak | ko |
dc.contributor.author | Hyun, Yoonsuk | ko |
dc.contributor.author | Park, Jinhyung | ko |
dc.contributor.author | Won, Joonyeong | ko |
dc.date.accessioned | 2022-04-16T06:42:16Z | - |
dc.date.available | 2022-04-16T06:42:16Z | - |
dc.date.created | 2022-03-06 | - |
dc.date.created | 2022-03-06 | - |
dc.date.issued | 2018-01 | - |
dc.identifier.citation | ADVANCES IN MATHEMATICS, v.323, pp.784 - 810 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/10203/295164 | - |
dc.description.abstract | An Okounkov body is a convex subset of Euclidean space associated to a divisor on a smooth projective variety with respect to an admissible flag. In this paper, we recover the asymptotic base loci from the Okounkov bodies by studying various asymptotic invariants such as the asymptotic valuations and the moving Seshadri constants. Consequently, we obtain the nefness and ampleness criteria of divisors in terms of the Okounkov bodies. Furthermore, we compute the divisorial Zariski decomposition by the Okounkov bodies, and find upper and lower bounds for moving Seshadri constants given by the size of simplexes contained in the Okounkov bodies. (C) 2017 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Asymptotic base loci via Okounkov bodies | - |
dc.type | Article | - |
dc.identifier.wosid | 000417885800020 | - |
dc.identifier.scopusid | 2-s2.0-85033716087 | - |
dc.type.rims | ART | - |
dc.citation.volume | 323 | - |
dc.citation.beginningpage | 784 | - |
dc.citation.endingpage | 810 | - |
dc.citation.publicationname | ADVANCES IN MATHEMATICS | - |
dc.identifier.doi | 10.1016/j.aim.2017.11.007 | - |
dc.contributor.localauthor | Park, Jinhyung | - |
dc.contributor.nonIdAuthor | Choi, Sung Rak | - |
dc.contributor.nonIdAuthor | Hyun, Yoonsuk | - |
dc.contributor.nonIdAuthor | Won, Joonyeong | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Okounkov body | - |
dc.subject.keywordAuthor | Base locus | - |
dc.subject.keywordAuthor | Asymptotic valuation | - |
dc.subject.keywordAuthor | Zariski decomposition | - |
dc.subject.keywordAuthor | Seshadri constant | - |
dc.subject.keywordPlus | ZARISKI DECOMPOSITIONS | - |
dc.subject.keywordPlus | LINEAR SERIES | - |
dc.subject.keywordPlus | MULTIPLICITIES | - |
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