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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 and Gerd SCHMALZ. Degenerate hypersurfaces with a two-parametric family of automorphisms. \textit{Complex Variables and Elliptic Equations}. Velká Británie: Taylor and Francis, 2009, vol.~54, 3-4, p.~283-291. ISSN~1747-6933.
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