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

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14C20, 32Qxx, 52A20
Keywords: ampleness, Newton-Okounkov bodies, positivity of line bundles, augmented and restricted base loci 
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     title = {Positivity of {Line} {Bundles} and {Newton-Okounkov} {Bodies}},
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Küronya, Alex; Lozovanu, Victor. Positivity of Line Bundles and Newton-Okounkov Bodies. Documenta mathematica, Tome 22 (2017), pp. 1285-1302. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a13/