Okounkov bodies and applications. Abstracts from the workshop held May 25--31, 2014.

DOI10.4171/OWR/2014/27zbMath1349.00183OpenAlexW2008969480MaRDI QIDQ347208

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Publication date: 30 November 2016

Published in: Oberwolfach Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/owr/2014/27

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polyhedra and polytopes; regular figures, division of spaces (51M20) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Collections of abstracts of lectures (00B05) Varieties of low degree (14N25) Divisors, linear systems, invertible sheaves (14C20)

Related Items (1)

The foundations of $(2n,k)$-manifolds

Cites Work

• Convex bodies appearing as Okounkov bodies of divisors
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Okounkov bodies and restricted volumes along very general curves
• Asymptotic invariants of base loci
• Scalar curvature and stability of toric varieties.
• Vanishing sequences and Okounkov bodies
• Seshadri constants, Diophantine approximation, and Roth's theorem for arbitrary varieties
• Okounkov Bodies of Finitely Generated Divisors
• Convex bodies associated to linear series
• Zariski chambers, volumes, and stable base loci
• Test configurations and Okounkov bodies
• Transforming metrics on a line bundle to the Okounkov body

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