Degenerate hypersurfaces with a two-parametric family of automorphisms

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Authors	KOLÁŘ Martin EZHOV Vladimir SCHMALZ Gerd
Year of publication	2009
Type	Article in Periodical
Magazine / Source	Complex Variables and Elliptic Equations
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	hypersurface; automorphism; finite type
Description	We give a complete classification of Levi-degenerate hypersurfaces of finite type in C^2 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. Kolar, Normal forms for hypersurfaces of finite type in C^2, Math. Res. Lett. 12 (2005), pp. 897-910].
Related projects:	Algebraic methods in geometry and topology