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@article{598431,
author = {Kolář, Martin},
article_location = {Boston (USA)},
article_number = {6},
keywords = {normal forms; finite type hypersurfaces; Chern-Moser invariants; stability group},
language = {eng},
issn = {1073-2780},
journal = {Mathematical Research Letters},
title = {Normal forms for hypersurfaces of finite type in C^2},
volume = {12},
year = {2005}
}
TY - JOUR
ID - 598431
AU - Kolář, Martin
PY - 2005
TI - Normal forms for hypersurfaces of finite type in C^2
JF - Mathematical Research Letters
VL - 12
IS - 6
SP - 897-910
EP - 897-910
PB - International Press
SN - 10732780
KW - normal forms
KW - finite type hypersurfaces
KW - Chern-Moser invariants
KW - stability group
N2 - We construct normal forms for Levi degenerate hypersurfaces of finite type in $\mathbb{C}^2$. As one consequence, an explicit solution to the problem of local biholomorphic equivalence is obtained. Another consequence determines the dimension of the stability group of the hypersurface.
ER -
KOLÁŘ, Martin. Normal forms for hypersurfaces of finite type in C\^{}2. \textit{Mathematical Research Letters}. Boston (USA): International Press, 2005, roč.~12, č.~6, s.~897-910. ISSN~1073-2780.
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