Infinitesimal CR automorphisms of hypersurfaces of finite type in ${\mathbb{C}}^2$
Archivum mathematicum, Tome 47 (2011) no. 5, pp. 367-375.

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We study the Chern-Moser operator for hypersurfaces of finite type in ${\mathbb{C}}^2$. Analysing its kernel, we derive explicit results on jet determination for the stability group, and give a description of infinitesimal CR automorphisms of such manifolds.
Classification : 32V35, 32V40
Keywords: Chern-Moser operator; automorphism group; finite jet determination; finite type
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     author = {Kol\'a\v{r}, Martin and Meylan, Francine},
     title = {Infinitesimal {CR} automorphisms of hypersurfaces of finite type in ${\mathbb{C}}^2$},
     journal = {Archivum mathematicum},
     pages = {367--375},
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     number = {5},
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     zbl = {1265.32023},
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Kolář, Martin; Meylan, Francine. Infinitesimal CR automorphisms of hypersurfaces of finite type in ${\mathbb{C}}^2$. Archivum mathematicum, Tome 47 (2011) no. 5, pp. 367-375. http://geodesic.mathdoc.fr/item/ARM_2011__47_5_a3/