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Asymptotic base loci via Okounkov bodies

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Title
Asymptotic base loci via Okounkov bodies
Author(s)
Choi S.R.; Hyun Y.; Park J.; Joonyeong Won
Publication Date
2018-01
Journal
ADVANCES IN MATHEMATICS, v.323, no., pp.784 - 810
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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. © 2017 Elsevier Inc
URI
https://pr.ibs.re.kr/handle/8788114/4384
ISSN
0001-8708
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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