TY - JOUR A1 - Küronya, Alex A1 - Lozovanu, Victor T1 - Positivity of line bundles and Newton-Okounkov bodies T2 - Documenta mathematica N2 - 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. KW - positivity of line bundles KW - ampleness KW - augmented and restricted base loci KW - Newton–Okounkov bodies Y1 - 2017 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/45151 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-451513 UR - https://www.math.uni-bielefeld.de/documenta/vol-22/40.pdf SN - 1431-0635 VL - 22 SP - 1285 EP - 1302 PB - Deutsche Mathematiker-Vereinigung CY - Bielefeld ER -