Space of orbits of the automorphism group of a model surface of type (1,2)
type: Item
instance of: scholarly article
title: Space of orbits of the automorphism group of a model surface of type (1,2)
zbMATH Open document ID: 1183.32017
published in: Russian Journal of Mathematical Physics
publication date: 2009-11-10T00:00:00Z
review text: The \(CR\) automorphisms of a model \(CR\) manifold act on the ambient complex space as a group of birational transformations. In the special example of the \(CR\) cubic \[ M=\{\Im z_2=|z_1|^2,\; \Im z_3=2|z_1|^2\Re z_1\}\subset\mathbb{C}^3, \] the author gives a full description of the space of the orbits of the relative group \(\mathbf{G}(M)\) in \(\mathbb{C}^3\).
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 32V05
zbMATH DE Number: 5628017
zbMATH Keywords: homogeneous \(CR\) manifold
zbMATH Keywords: automorphism group
zbMATH Keywords: orbits
author: Valeriĭ K. Beloshapka
MaRDI profile type: Publication
full work available at URL: s11503-008-1015-8
OpenAlex ID: W4210633668
DOI: 10.1007/S11503-008-1015-8
description: scientific article; zbMATH DE number 5628017