Automorphisms and equivalence of bounded Reinhardt domains not containing the origin

DOI10.2748/TMJ/1178228082zbMath0646.32003OpenAlexW1985053555MaRDI QIDQ1103753

Satoru Shimizu

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228082

zbMATH Keywords

equivalenceautomorphismsbounded Reinhardt domains not containing the origin

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05)

Related Items (19)

Holomorphic equivalence problem for a certain class of unbounded Reinhardt domains in \(\mathbb{C}^ 2\). II ⋮ On the holomorphic automorphism group of a generalized Hartogs triangle ⋮ The Serre problem with Reinhardt fibers. ⋮ Holomorphic equivalence problem for Reinhardt domains and the conjugacy of torus actions ⋮ Proper holomorphic mappings between Reinhardt domains in \(\mathbb C^{2}\) ⋮ Automorphisms of bounded Reinhardt domains ⋮ Generalized Reinhardt domains ⋮ A group-theoretic characterization of the Fock-Bargmann-Hartogs domains ⋮ Holomorphic automorphism groups of \((m,1)\)-circular domains ⋮ A group-theoretic characterization of the direct product of a ball and punctured planes ⋮ Rigidity of automorphism groups of invariant domains in certain Stein homogeneous manifolds ⋮ Serre problem for unbounded pseudoconvex Reinhardt domains in \(\mathbb{C}^{2}\) ⋮ Invariant domains of holomorphy: twenty years later ⋮ Rigidity and regularity in group actions ⋮ A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space. II ⋮ Two theorems on the Fock-Bargmann-Hartogs domains ⋮ Standardization of certain compact group actions and the automorphism group of the complex Euclidean space ⋮ Complex geometry of generalized annuli ⋮ A group-theoretic characterization of the direct product of a ball and a Euclidean space

Cites Work

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• Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin
• Holomorphic mapping of products of annuli in \(\mathbb{C}^n\)
• Holomorphic equivalence problem for bounded Reinhardt domains
• Zu den Abbildungen durch analytische Funktionen mehrerer komplexer Veränderlichen. Die Invarianz des Mittelpunktes von Kreiskörpern
• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes

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