Satake Compactification and Extension of Holomorphic Mappings.
Singular sets of holonomy maps for algebraic foliations
In this article we investigate the natural domain of definition of a holonomy map associated to a singular holomorphic foliation of the complex projective plane. We prove that germs of holonomy between algebraic curves can have large sets of singularities for the analytic continuation. In the Riccati context we provide examples with natural boundary and maximal sets of singularities. In the generic case we provide examples having at least a Cantor set of singularities and even a nonempty open set...
Some properties of Reinhardt domains
We first establish the equivalence between hyperconvexity of a fat bounded Reinhardt domain and the existence of a Stein neighbourhood basis of its closure. Next, we give a necessary and sufficient condition on a bounded Reinhardt domain D so that every holomorphic mapping from the punctured disk into D can be extended holomorphically to a map from Δ into D.
Sur le prolongement d'applications holomorphes
Sur le prolongement holomorphe des fonctions C - R définies sur une hypersurfac réelle de classe C2 dans Cn.
Sur les polynômes de I. N. Bernstein
Sur l'extension des fonctions C R