A Reflection Principle for Proper Holomorphic Mappings of Strongly Pseudoconvex Domains and Applications.
A reflection principle on strongly pseudoconvex domains with generic corners.
A Reflection Principle with Applications to Proper Holomorphic Mappings.
A Riemann Mapping Theorem for Bounded Symmetric Domains in Complex Banach Spaces.
A Rigidity Theorem for P3 ( C ).
A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ
In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
A Wong-Rosay type theorem for proper holomorphic self-maps
In this short paper, we show that the only proper holomorphic self-maps of bounded domains in whose iterates approach a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type theorem for a sequence of maps whose degrees are a priori unbounded.
Abschätzungen für die Anzahl der holomorphen Abbildungen zwischen algebraischen Räumen.
Ahlfors’ currents in higher dimension
We consider a nondegenerate holomorphic map where is a compact Hermitian manifold of dimension larger than or equal to and is an open connected complex manifold of dimension . In this article we give criteria which permit to construct Ahlfors’ currents in .
Algebraic degrees for iterates of meromorphic self-maps of Pk.
We first introduce the class of quasi-algebraically stable meromorphic maps of Pk. This class is strictly larger than that of algebraically stable meromorphic self-maps of Pk. Then we prove that all maps in the new class enjoy a recurrent property. In particular, the algebraic degrees for iterates of these maps can be computed and their first dynamical degrees are always algebraic integers.
Algebraic dependences of meromorphic mappings sharing few moving hyperplanes
We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.
Algebraic Structures on Certain 3-Folds.
Algebraicity Under Bijective Morphisms and Nonprojective Varieties.
Algebraizitätskriterien für holomorphe Abbildungen zwischen algebraischen Räumen.
Algébricité et compacité dans l'espace des cycles d'un espace analytique complexe.
Almost Properness of Extremal Mappings
We give a simple proof of almost properness of any extremal mapping in the sense of Lempert function or in the sense of Kobayashi-Royden pseudometric.
An Approximate Riemann Mapping Theorem in Cn.
An embedding of C in C² with hyperbolic complement.
An explicit holomorphic map of bounded domains in Cn with C2-Boundary onto the poydisc.
An extension of Schwick's theorem for normal families
In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.