Variétés Singulières et Extension des Fonctions Holomorphes

DOI10.1017/S0027763000026027zbMath1161.32002OpenAlexW1479948994MaRDI QIDQ5302848

Emmanuel Mazzilli, Vincent Duquenoy

Publication date: 13 January 2009

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1229955910

zbMATH Keywords

bounded holomorphic extensionresidual currentsingularity of Morse type

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Analytic subsets and submanifolds (32C25) Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Cites Work

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• Abelian differentials on singular varieties and variations on a theorem of Lie-Griffiths
• Extension and division in varieties with normal crossings
• Residue currents
• The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman
• Residues, currents, and their relation to ideals of holomorphic functions.
• A remark on the theorem of Ohsawa-Takegoshi
• CONTINUATION OF BOUNDED HOLOMORPHIC FUNCTIONS FROM SUBMANIFOLDS IN GENERAL POSITION TO STRICTLY PSEUDOCONVEX DOMAINS

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