Pluripolar graphs are holomorphic

DOI10.1007/BF02393221zbMath1114.32001arXivmath/0301181MaRDI QIDQ2495345

Nikolay Shcherbina

Publication date: 6 July 2006

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301181

zbMATH Keywords

holomorphic functionpluripolar graph

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10) Plurisubharmonic functions and generalizations (32U05)

Related Items (9)

Residue calculus for c-holomorphic functions ⋮ Pluripolarity of graphs of Denjoy quasianalytic functions of several variables ⋮ Miscellanea on PSH functions and \(L^2\) methods on pseudoconvex domains ⋮ Hartogs' analyticity theorem for \(C^2\)-mappings and maximum principle for \(q\)-convex functions ⋮ A Role of the L2 Method in the Study of Analytic Families ⋮ Exceptional values in holomorphic families of entire functions ⋮ Some theorems on complex structures ⋮ Graphs of multifunctions ⋮ Shcherbina's theorem for finely holomorphic functions

Cites Work

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• Linking and holomorphic hulls
• Analyticity of complements of complete Kaehler domains
• On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on \(C^n\)
• Graphs of multifunctions
• Sur les valeurs exceptionnelles au sens de Picard d'une function entière de deux variables
• Cohomology of maximal ideal spaces

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