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

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dc.creatorMir, Nordine
dc.date2003-01-08
dc.date.accessioned2026-07-07T06:34:28Z
dc.date.available2026-07-07T06:34:28Z
dc.descriptionWe show that every formal embedding sending a real-analytic strongly pseudoconvex hypersurface in $M\subset \C^N$ into another such hypersurface in $M'\subset \C^{N+1}$ is convergent. More generally, if $M$ and $M'$ are merely Levi-nondegenerate, the same conclusion holds for any formal embedding provided either that the embedding is CR transversal or the target hypersurface does not contain any complex curves.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0301062
dc.identifierhttp://arxiv.org/abs/math/0301062
dc.identifierJ. Differential Geom., 62, 163--173, (2002).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99535
dc.subjectComplex Variables
dc.subject32h02, 32V20, 32V30, 32V40
dc.titleConvergence of formal embeddings between real-analytic hypersurfaces in codimension one
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