Positivity of line bundles and Newton-Okounkov bodies

DOI10.25537/dm.2017v22.1285-1302zbMath1386.14042arXiv1506.06525MaRDI QIDQ683760

Victor Lozovanu, Alex Küronya

Publication date: 9 February 2018

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06525

zbMATH Keywords

amplenessaugmented and restricted base lociNewton-Okounkov bodiespositivity of line bundles

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Complex manifolds (32Qxx)

Related Items (16)

Concave transforms of filtrations and rationality of Seshadri constants ⋮ Newton-Okounkov bodies on projective bundles over curves ⋮ Multipoint Okounkov bodies ⋮ Local numerical equivalences and Okounkov bodies in higher dimensions ⋮ Newton-Okounkov bodies sprouting on the valuative tree ⋮ Asymptotic base loci via Okounkov bodies ⋮ Algebraic reverse Khovanskii-Teissier inequality via Okounkov bodies ⋮ Arithmetic Okounkov bodies and positivity of adelic Cartier divisors ⋮ Newton-Okounkov bodies and complexity functions ⋮ Seshadri constants and Okounkov bodies revisited ⋮ Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022 ⋮ Canonical growth conditions associated to ample line bundles ⋮ Toric degenerations and symplectic geometry of smooth projective varieties ⋮ Newton-Okounkov bodies of exceptional curve valuations ⋮ On global Okounkov bodies of spherical varieties ⋮ On the Mori theory and Newton-Okounkov bodies of Bott-Samelson varieties

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