Parabolic curves for diffeomorphisms in C2.
Parabolic curves in .
Parabolic exhaustions and analytic coverings.
Picard-Borel-Eigenschaft und Anwendungen.
Picard-Borel-Räume.
Pluri-canonical divisors on Kähler manifolds.
Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
Points périodiques d’applications birationnelles de
Nous donnons une condition suffisante pour l’existence de points périodiques pour une application birationnelle de . Sous cette hypothèse, une estimation précise du nombre de points périodiques de période fixée est obtenue. Nous donnons une application de ce résultat à l’étude dynamique de ces applications, en calculant explicitement l’auto-intersection de leur courant invariant naturellement associé. Nos résultats reposent essentiellement sur le théorème de Bézout donnant le cardinal de l’intersection...
Polynomial diffeomorphisms of : VII. Hyperbolicity and external rays
Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyperbolicity.
Polynomial diffeomorphisms of C2. III. Ergodicity, exponents and entropy of the equilibrium measure.
Polynomial diffeomorphisms of C2. IV: The measure of maximal entropy and laminar currents.
Precise regularity up to the boundary of proper holomorphic mappings
Primitive Holomorphic Maps of Curves.
Problème de surjectivité des applications holomorphes
Projective Connections in CR Geometry.
Projective geometry and Riemann's mapping problem.
Proper Holomorphic Correspondences Between Circular Domains.
Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Proper holomorphic liftings and new formulas for the Bergman and Szegő kernels
We consider a large class of convex circular domains in which contains the oval domains and minimal balls. We compute their Bergman and Szegő kernels. Our approach relies on the analysis of some proper holomorphic liftings of our domains to some suitable manifolds.