Positivity of line bundles and Newton-Okounkov bodies

  • The purpose of this paper is to describe asymptotic base loci of line bundles on projective varieties in terms of Newton--Okounkov bodies. As a result, we obtain equivalent characterizations of ampleness and nefness via convex geometry.

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Author:Alex Küronya, Victor Lozovanu
URN:urn:nbn:de:hebis:30:3-451513
URL:https://www.math.uni-bielefeld.de/documenta/vol-22/40.pdf
DOI:https://doi.org/10.25537/dm.2017v22.1285-1302
ISSN:1431-0635
Parent Title (German):Documenta mathematica
Publisher:Deutsche Mathematiker-Vereinigung
Place of publication:Bielefeld
Document Type:Article
Language:English
Year of Completion:2017
Year of first Publication:2017
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2017/11/27
Tag:Newton–Okounkov bodies; ampleness; augmented and restricted base loci; positivity of line bundles
Volume:22
Page Number:18
First Page:1285
Last Page:1302
HeBIS-PPN:425118339
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC-Classification:14-XX ALGEBRAIC GEOMETRY / 14Cxx Cycles and subschemes / 14C20 Divisors, linear systems, invertible sheaves
32-XX SEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES (For infinite-dimensional holomorphy, see 46G20, 58B12) / 32Qxx Complex manifolds
52-XX CONVEX AND DISCRETE GEOMETRY / 52Axx General convexity / 52A20 Convex sets in n dimensions (including convex hypersurfaces) [See also 53A07, 53C45]
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0

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