Ezhov, Vladimir; Kolář, Martin; Schmalz, Gerd

Author(s)

Ezhov, Vladimir

Kolář, Martin

Schmalz, Gerd

Publication Date

2009

Abstract

We give a complete classification of Levi-degenerate hypersurfaces of finite type in ℂ² with two-dimensional symmetry groups. Our analysis is based on the classification of two-dimensional Lie algebras and an explicit description of isotropy groups for such hypersurfaces, which follows from the construction of Chern–Moser type normal forms at points of finite type, developed in [M. Kolář, 'Normal forms for hypersurfaces of finite type in ℂ²', Math. Res. Lett. 12 (2005), pp. 897–910].

Citation

Complex Variables and Elliptic Equations, 54(3-4), p. 283-291

ISSN

1747-6941

1747-6933

Link

https://hdl.handle.net/1959.11/3945

Publisher

Taylor & Francis

Title

Degenerate hypersurfaces with a two-parametric family of automorphisms

Type of document

Journal Article

Entity Type

Publication

Author(s)	Ezhov, Vladimir Kolář, Martin Schmalz, Gerd
Publication Date	2009
Abstract	We give a complete classification of Levi-degenerate hypersurfaces of finite type in ℂ² with two-dimensional symmetry groups. Our analysis is based on the classification of two-dimensional Lie algebras and an explicit description of isotropy groups for such hypersurfaces, which follows from the construction of Chern–Moser type normal forms at points of finite type, developed in [M. Kolář, 'Normal forms for hypersurfaces of finite type in ℂ²', Math. Res. Lett. 12 (2005), pp. 897–910].
Citation	Complex Variables and Elliptic Equations, 54(3-4), p. 283-291
ISSN	1747-6941 1747-6933
Link	https://hdl.handle.net/1959.11/3945
Publisher	Taylor & Francis
Title	Degenerate hypersurfaces with a two-parametric family of automorphisms
Type of document	Journal Article
Entity Type	Publication

Degenerate hypersurfaces with a two-parametric family of automorphisms

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