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On demontre que si X est une variete fortement pseudoconvexe telle que H 2 (X,Z) soit de type fini et son ensemble exceptionnel S de dimension 1, alors X est plongeable dans C m × CP n si et seulement si X est une variete kahlerienne; en outre cette condition est verifiee si et seulement si S ne contient aucune courbe effective qui est homologue a zero.

On the embedding of 1-convex manifolds with 1-dimensional exceptional set