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@article{833294, author = {Kolář, Martin and Ezhov, Vladimir and Schmalz, Gerd}, article_location = {Velká Británie}, article_number = {3-4}, keywords = {hypersurface; automorphism; finite type}, language = {eng}, issn = {1747-6933}, journal = {Complex Variables and Elliptic Equations}, title = {Degenerate hypersurfaces with a two-parametric family of automorphisms}, volume = {54}, year = {2009} }
TY - JOUR ID - 833294 AU - Kolář, Martin - Ezhov, Vladimir - Schmalz, Gerd PY - 2009 TI - Degenerate hypersurfaces with a two-parametric family of automorphisms JF - Complex Variables and Elliptic Equations VL - 54 IS - 3-4 SP - 283-291 EP - 283-291 PB - Taylor and Francis SN - 17476933 KW - hypersurface KW - automorphism KW - finite type N2 - 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]. ER -
KOLÁŘ, Martin, Vladimir EZHOV a Gerd SCHMALZ. Degenerate hypersurfaces with a two-parametric family of automorphisms. \textit{Complex Variables and Elliptic Equations}. Velká Británie: Taylor and Francis, 2009, roč.~54, 3-4, s.~283-291. ISSN~1747-6933.
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