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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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