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@article{710085,
author = {Kolář, Martin},
article_location = {Heidelberg},
article_number = {11},
keywords = {normal forms; finite type hypersurfaces; local equivalence problem; finite jet determination; stability group},
language = {eng},
issn = {1006-9283},
journal = {Science in China Series A: Mathematics},
title = {Local symmetries of finite type hypersurfaces in C^2.},
url = {www.springerlink.com},
volume = {49},
year = {2006}
}
TY - JOUR
ID - 710085
AU - Kolář, Martin
PY - 2006
TI - Local symmetries of finite type hypersurfaces in C^2.
JF - Science in China Series A: Mathematics
VL - 49
IS - 11
SP - 1633-1641
EP - 1633-1641
PB - Science in China Press a Springer-Verlag
SN - 10069283
KW - normal forms
KW - finite type hypersurfaces
KW - local equivalence problem
KW - finite jet determination
KW - stability group
UR - www.springerlink.com
N2 - The paper gives a complete description of local automorphism groups for Levi degenerate hypersurfaces of finite type in C^2. It is also proved that, with the exception of hypersurfaces of the form v = |z|^k local automorphisms are always determined by their 1-jets. Using this result, the second part describes special normal forms which allow to decide effectively about local equivalence of two hypersurfaces given in this normal form.
ER -
KOLÁŘ, Martin. Local symmetries of finite type hypersurfaces in C\^{}2. \textit{Science in China Series A: Mathematics}. Heidelberg: Science in China Press a Springer-Verlag, 2006, roč.~49, č.~11, s.~1633-1641. ISSN~1006-9283.
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