Analytic discs, global extremal functions and projective hulls in projective space

zbMath1329.32017arXiv1304.1704MaRDI QIDQ491452

Benedikt Steinar Magnússon

Publication date: 25 August 2015

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

Full work available at URL: https://arxiv.org/abs/1304.1704

zbMATH Keywords

complex projective spaceanalytic discsglobal extremal functionprojective hulls

Mathematics Subject Classification ID

Holomorphic convexity (32E99) Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15)

Related Items (2)

A note on weighted homogeneous Siciak-Zaharyuta extremal functions ⋮ On Poletsky theory of discs in compact manifolds

Cites Work

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• Characterizations of projective hulls by analytic discs
• Plurisubharmonic subextensions as envelopes of disc functionals
• Intrinsic capacities on compact Kähler manifolds
• Siciak-Zahariuta extremal functions, analytic discs and polynomial hulls
• Projective hulls and the projective Gelfand transform
• Manifolds of holomorphic mappings from strongly pseudoconvex domains
• Extremal $\omega$-plurisubharmonic functions as envelopes of disc functionals: generalization and applications to the local theory
• Disc formulas for the weighted Siciak–Zahariuta extremal function
• The Siciak–Zahariuta extremal function as the envelope of disc functionals

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