Relating transfinite diameters using an Okounkov body

DOI10.1007/s40879-019-00358-zzbMath1435.32045OpenAlexW2964333874WikidataQ127461043 ScholiaQ127461043MaRDI QIDQ2326976

Sione Ma'u

Publication date: 10 October 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-019-00358-z

zbMATH Keywords

affine varietyOkounkov bodytransfinite diameterChebyshev transformFekete pointlocally circled set

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Capacity theory and generalizations (32U20)

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
• Growth of balls of holomorphic sections and energy at equilibrium
• Polynomial interpolation of holomorphic functions in \(\mathbb{C}\) and \(\mathbb{C}^ n\)
• Transfinite diameter on complex algebraic varieties
• Polynomial interpolation and approximation in C^d
• Convex bodies associated to linear series
• TRANSFINITE DIAMETER, ČEBYŠEV CONSTANTS, AND CAPACITY FOR COMPACTA IN $ \mathbf{C}^n$
• Weighted pluripotential theory in C N
• Transforming metrics on a line bundle to the Okounkov body
• Okounkov bodies of filtered linear series
• Transfinite diameter and the resultant

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