Vanishing sequences and Okounkov bodies
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Publication:2339323
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
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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- Convex bodies appearing as Okounkov bodies of divisors
- Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
- Asymptotic invariants of base loci
- Scalar curvature and stability of toric varieties.
- The valuative tree
- Multiplicities associated to graded families of ideals
- Okounkov Bodies of Finitely Generated Divisors
- Abhyankar places admit local uniformization in any characteristic
- Differentiability of volumes of divisors and a problem of Teissier
- Restricted volumes and base loci of linear series
- Convex bodies associated to linear series
- Automatic Continuity of Concave Functions
- Irrational asymptotic behaviour of Castelnuovo-Mumford regularity
- Uniform approximation of Abhyankar valuation ideals in smooth function fields
- Test configurations and Okounkov bodies
- A refinement of Izumi's Theorem
- Okounkov bodies of filtered linear series
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