Finite jet determination for biholomorphisms of real-analytic hypersurfaces in \(\mathbb C^N\) (Q819270)

The author extends to CR hypersurfaces \(M\) of arbitrary dimension a result originally proved by \textit{P. Ebenfelt, B. Lamel} and \textit{D. Zaitsev} [Geom. Funct. Anal. 13, No. 3, 546--573 (2003; Zbl 1032.32025)] for the case of CR hypersurfaces of real dimension 3. She proves that under some finiteness assumption on \(M\), that in the 3-dimensional case reduces to the situation considered in the cited paper, local biholomorphisms are completely determined by their finite \(k\)-jets; in the finite type case this \(k\) can be taken equal to \(2\).