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기하학수리물리연구단
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Asymptotic base loci via Okounkov bodies

DC Field Value Language
dc.contributor.authorChoi S.R.-
dc.contributor.authorHyun Y.-
dc.contributor.authorPark J.-
dc.contributor.authorJoonyeong Won-
dc.date.available2018-03-05T01:03:46Z-
dc.date.created2018-02-14-
dc.date.issued2018-01-
dc.identifier.issn0001-8708-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/4384-
dc.description.abstractAn 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. © 2017 Elsevier Inc-
dc.language영어-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleAsymptotic base loci via Okounkov bodies-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000417885800020-
dc.identifier.scopusid2-s2.0-85033716087-
dc.identifier.rimsid62298-
dc.date.tcdate2018-10-01-
dc.contributor.affiliatedAuthorJoonyeong Won-
dc.identifier.doi10.1016/j.aim.2017.11.007-
dc.identifier.bibliographicCitationADVANCES IN MATHEMATICS, v.323, pp.784 - 810-
dc.relation.isPartOfADVANCES IN MATHEMATICS-
dc.citation.titleADVANCES IN MATHEMATICS-
dc.citation.volume323-
dc.citation.startPage784-
dc.citation.endPage810-
dc.date.scptcdate2018-10-01-
dc.description.scptc0-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalWebOfScienceCategoryMathematics-
dc.subject.keywordPlusZARISKI DECOMPOSITIONS-
dc.subject.keywordPlusLINEAR SERIES-
dc.subject.keywordPlusMULTIPLICITIES-
dc.subject.keywordAuthorOkounkov body-
dc.subject.keywordAuthorBase locus-
dc.subject.keywordAuthorAsymptotic valuation-
dc.subject.keywordAuthorZariski decomposition-
dc.subject.keywordAuthorSeshadri constant-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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