Invariant holomorphic extension in several complex variables

DOI10.1007/s11425-006-2072-7zbMath1111.32006OpenAlexW2169473763MaRDI QIDQ867820

Xiang-Yu Zhou

Publication date: 16 February 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-2072-7

zbMATH Keywords

categorical quotientStein manifoldgroup actionminimum principleplurisubharmonic function

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Plurisubharmonic functions and generalizations (32U05) Complex spaces with a group of automorphisms (32M99) Domains of holomorphy (32T05)

Related Items (6)

Siu's lemma, optimal \(L^2\) extension and applications to twisted pluricanonical sheaves ⋮ On the Ohsawa-Takegoshi \(L^2\) extension theorem and the Bochner-Kodaira identity with non-smooth twist factor ⋮ Recent results in several complex variables and complex geometry ⋮ Optimal constant in an \(L^2\) extension problem and a proof of a conjecture of Ohsawa ⋮ A Survey on L 2 Extension Problem ⋮ A solution of an \(L^{2}\) extension problem with an optimal estimate and applications

Cites Work

• Action d'une forme réelle d'un groupe de Lie complexe sur les fonctions plurisousharmoniques
• Les objets souples de l'analyse complexe
• An invariant version of Cartan's lemma and complexification of invariant domains of holomorphy
• Globalizations, fiber bundles, and envelopes of holomorphy
• Sur quelques points d'algèbre homologique
• A proof of the extended future tube conjecture
• Geometric Invariant Theory
• Notions of convexity
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