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.
Positivity of Line Bundles and Newton-Okounkov Bodies
Lozovanu, V
2017-01-01
Abstract
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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