Geodesic
Positivity of Line Bundles and Newton-Okounkov Bodies
Documenta mathematica, Tome 22 (2017), pp. 1285-1302

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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.
DOI : 10.4171/dm/596
Classification : 14C20, 32Qxx, 52A20
Mots-clés : ampleness, Newton-Okounkov bodies, positivity of line bundles, augmented and restricted base loci 
Victor Lozovanu; Alex Küronya. Positivity of Line Bundles and Newton-Okounkov Bodies. Documenta mathematica, Tome 22 (2017), pp. 1285-1302. doi: 10.4171/dm/596
@article{10_4171_dm_596,
     author = {Victor Lozovanu and Alex K\"uronya},
     title = {Positivity of {Line} {Bundles} and {Newton-Okounkov} {Bodies}},
     journal = {Documenta mathematica},
     pages = {1285--1302},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/596},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/596/}
}
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