Extension d'homéomorphismes CR entre variétés polynômialement rigides.
Lahondès, Patrick
Publicacions Matemàtiques, Tome 46 (2002), p. 327-352 / Harvested from Biblioteca Digital de Matemáticas
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Let f : M → M' be a CR homeomorphism between two minimal, rigid polynomial varieties of Cn without holomorphic curves. We show that f extends biholomorphically in a neighborhood of M if f extends holomorphically in a neighborghood of a point p0 ∈ M or if f is of class C1. In the other hand, in case M and M' are two algebraic hypersurfaces, we obtain the extension without supplementary conditions.

Publié le : 2002-01-01
DMLE-ID : 3974 
@article{urn:eudml:doc:41455,
     title = {Extension d'hom\'eomorphismes CR entre vari\'et\'es polyn\^omialement rigides.},
     journal = {Publicacions Matem\`atiques},
     volume = {46},
     year = {2002},
     pages = {327-352},
     mrnumber = {MR1934199},
     zbl = {1023.32022},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41455}
}

Lahondès, Patrick. Extension d'homéomorphismes CR entre variétés polynômialement rigides.. Publicacions Matemàtiques, Tome 46 (2002) pp. 327-352. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41455/