Okounkov bodies and the Kähler geometry of projective manifolds

DOI10.1007/978-3-031-17859-7_31arXiv1510.00510OpenAlexW3038952334MaRDI QIDQ6204022

David Witt Nyström

Publication date: 9 April 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00510

zbMATH Keywords

Okounkov bodiesKähler currents

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20) Notions of stability for complex manifolds (32Q26) Birational geometry (14Exx)

Cites Work

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• Okounkov bodies and Seshadri constants
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Integrable systems, toric degenerations and Okounkov bodies
• Symplectic packings and algebraic geometry
• Brunn-Minkowski inequality for multiplicities
• Infinitesimal Newton-Okounkov bodies and jet separation
• Okounkov bodies and toric degenerations
• Algebraic Equations and Convex Bodies
• Convex bodies associated to linear series
• Base loci of linear series are numerically determined
• Transforming metrics on a line bundle to the Okounkov body
• Toric degenerations and symplectic geometry of smooth projective varieties

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