Embedding holomorphic discs through discrete sets.
Embedding subsets of tori Properly into
Let be a complex one-dimensional torus. We prove that all subsets of with finitely many boundary components (none of them being points) embed properly into . We also show that the algebras of analytic functions on certain countably connected subsets of closed Riemann surfaces are doubly generated.
Embeddings and Proper Holomorphic Maps of Strictly Pseudoconvex Domains into Polydiscs and Balls.
Endlichkeits- und Picard-Sätze für quasiprojektive Räume.
Endlichkeits- und Verschwindungssätze für (schwach-) konstruierbare Garbenkomplexe auf komplexen Räumen.
Erratum to "Proper holomorphic mappings in the special class of Reinhardt domains" (Ann. Polon. Math. 92 (2007), 285-297)
Extending proper holomorphic mappings of positive codimension.
Extension d'homéomorphismes CR entre variétés polynômialement rigides.
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.
Extension of correspondences between rigid polynomial domains
Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric
We study the extension problem for germs of holomorphic isometries up to normalizing constants between bounded domains in Euclidean spaces equipped with Bergman metrics on and on . Our main focus is on boundary extension for pairs of bounded domains such that the Bergman kernel extends meromorphically in to a neighborhood of , and such that the analogous statement holds true for the Bergman kernel on . Assuming that and are complete Kähler manifolds, we prove that the germ...
Extension of Proper Holomorphic Mappings Past the Boundary.
Formules de Jacobi et méthodes analytiques
On se propose de retrouver, via des méthodes d'inspiration analytiques basées sur l'utilisation de formules de représentation intégrale attachées à des applications holomorphes propres d'un ouvert de ℂⁿ dans ℂⁿ, les formules de Jacobi généralisées obtenues par C. A. Berenstein, A. Vidras et A. Yger; le fait de disposer de telles preuves (basées sur un raisonnement limité au cadre strictement affine et ne nécessitant pas le recours à une compactification) autorise l'extension de ces résultats au...
Geometry of symmetrized ellipsoids.
Hölder continuity of proper holomorphic mappings
We prove the Hölder continuity for proper holomorphic mappings onto certain piecewise smooth pseudoconvex domains with "good" plurisubharmonic peak functions at each point of their boundaries. We directly obtain a quite precise estimate for the exponent from an attraction property for analytic disks. Moreover, this way does not require any consideration of infinitesimal metric.
Holomorphic embeddings of planar domains into C².
Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin.
Le complete Formel d'un espace analytique le long d'un sous-espace: un théorême de comparison.
Localization of the Kobayashi Metric and the Boundary Continuity of Proper Holomorphic Mappings.
Mappings of quadric Cauchy-Riemann manifolds.
Moduli spaces of holomorphic mappings into hyperbolically imbedded complex spaces and locally symmetric spaces.