Satake Compactification and Extension of Holomorphic Mappings.
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Singular sets of holonomy maps for algebraic foliations
Gabriel Calsamiglia, Bertrand Deroin, Sidney Frankel, Adolfo Guillot (2013)
Journal of the European Mathematical Society
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
Le Mau Hai, Nguyen Quang Dieu, Nguyen Huu Tuyen (2003)
Annales Polonici Mathematici
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
M. Derridj (1985/1986)
Séminaire Équations aux dérivées partielles (Polytechnique)
Sur le prolongement holomorphe des fonctions C - R définies sur une hypersurfac réelle de classe C2 dans Cn.
J.M. Trépeau (1986)
Inventiones mathematicae
Sur les polynômes de I. N. Bernstein
B. Malgrange (1973/1974)
Séminaire Équations aux dérivées partielles (Polytechnique)
Sur l'extension des fonctions C R
Stéphane Maingot (1985)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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