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Journal of Differential Geometry 62 (2002), 163-173.

Convergence of formal embeddings between real-analytic hypersurfaces in codimension one

Nordine Mir

Abstract:

We show that any formal embedding sending a real-analytic strongly pseudoconvex hypersurface $M\subset \C^N$, $N>1$, into another such hypersurface $M'\subset \C^{N+1}$ is convergent.