Convergence of Formal Embeddings Between Real-Analytic Hypersurfaces in Codimension One

Mir, Nordine

Mir, Nordine

J. Differential Geom., Tome 60 (2002) no. 1, p. 163-173 / Harvested from Project Euclid

Résumé

We show that any formal embedding sending a real-analytic strongly pseudoconvex hypersurface M ⊂ ℂ^N, N > 1, into another such hypersurface M^′ ⊂ ℂ^N+1 is convergent.

Publié le : 2002-09-14
Classification:

@article{1090425533,
     author = {Mir, Nordine},
     title = {Convergence of Formal Embeddings Between Real-Analytic Hypersurfaces in Codimension One},
     journal = {J. Differential Geom.},
     volume = {60},
     number = {1},
     year = {2002},
     pages = { 163-173},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090425533}
}

Mir, Nordine. Convergence of Formal Embeddings Between Real-Analytic Hypersurfaces in Codimension One. J. Differential Geom., Tome 60 (2002) no. 1, pp.  163-173. http://gdmltest.u-ga.fr/item/1090425533/