Vanishing sequences and Okounkov bodies

DOI10.1007/s00208-014-1081-zzbMath1325.14049arXiv1306.2181OpenAlexW3101399064MaRDI QIDQ2339323

Tomasz Szemberg, Sébastien Boucksom, Alex Küronya, Catriona Maclean

Publication date: 31 March 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2181

zbMATH Keywords

valuationsNewton-Okounkov bodiesconcave transformsvanishing sequences

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Divisors, linear systems, invertible sheaves (14C20) Miscellaneous topics in measure theory (28E99) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (22)

Kähler-Einstein metrics and volume minimization ⋮ Concave transforms of filtrations and rationality of Seshadri constants ⋮ Okounkov bodies and applications. Abstracts from the workshop held May 25--31, 2014. ⋮ The stability threshold and Diophantine approximation ⋮ Newton-Okounkov bodies sprouting on the valuative tree ⋮ Minimal plane valuations ⋮ K-stability of Fano varieties via admissible flags ⋮ Seshadri constants and K-stability of Fano manifolds ⋮ Expectations, concave transforms, Chow weights and Roth's theorem for varieties ⋮ Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs ⋮ A non-Archimedean approach to K-stability. II: Divisorial stability and openness ⋮ Seshadi constants via functions on Newton-Okounkov bodies ⋮ Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ Global pluripotential theory over a trivially valued field ⋮ The volume of singular Kähler–Einstein Fano varieties ⋮ Positivity of line bundles and Newton-Okounkov bodies ⋮ A variational approach to the Yau–Tian–Donaldson conjecture ⋮ Newton-Okounkov bodies of exceptional curve valuations ⋮ Newton-Okounkov theory in an abstract setting ⋮ Thresholds, valuations, and K-stability ⋮ Newton–Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs

Cites Work

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• Uniform approximation of Abhyankar valuation ideals in smooth function fields
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