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

Nordine Mir (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

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.

Mots clés: Formal embedding; strongly pseudoconvex hypersurface; convergence

Domaines: Variables complexes [math.CV]

Nordine Mir. Convergence of formal embeddings between real-analytic hypersurfaces in codimension one. Journal of Differential Geometry, 2002, 62 (1), pp.163--173. ⟨hal-00261689⟩