Infinitesimal CR automorphisms of hypersurfaces of finite type in ${\mathbb{C}}^2$

Martin Kolář and Francine Meylan

Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611  37 Brno, Czech Republic
Department of Mathematics, University of Fribourg, CH 1700 Perolles, Fribourg


Abstract: 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.

AMSclassification: primary 32V35; secondary 32V40.

Keywords: Chern-Moser operator, automorphism group, finite jet determination, finite type.