Proper holomorphic mappings from strongly pseudoconvex domains in C... to the unit polydisc in C...
Proper holomorphic mappings in the special class of Reinhardt domains
A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in ℂ² with the logarithmic image equal to a strip or a half-plane is given.
Proper holomorphic mappings vs. peak points and Shilov boundary
We present a result on the existence of some kind of peak functions for ℂ-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for A(D) under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.
Proper holomorphic self-mappings of Reinhardt domains.
Proper holomorphic self-mappings of the minimal ball
The purpose of this paper is to prove that proper holomorphic self-mappings of the minimal ball are biholomorphic. The proof uses the scaling technique applied at a singular point and relies on the fact that a proper holomorphic mapping f: D → Ω with branch locus is factored by automorphisms if and only if is a normal subgroup of for some and .
Proper holomorphic self-mappings of the symmetrized bidisc
We characterize proper holomorphic self-mappings 𝔾₂ → 𝔾₂ for the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂): |λ₁|,|λ₂| < 1} ⊂ ℂ².
Proper mappings between Reinhardt domains with an analytic variety on the boundary
Proper Maps from Strongly q-Convex Domains.
Proper Self Maps of Weakly Pseudoconvex Domains.
Pseudo holomorphic curves in symplectic manifolds.
Pull-back of currents by meromorphic maps
Let and be compact Kähler manifolds, and let be a dominant meromorphic map. Based upon a regularization theorem of Dinh and Sibony for DSH currents, we define a pullback operator for currents of bidegrees of finite order on (and thus foranycurrent, since is compact). This operator has good properties as may be expected. Our definition and results are compatible to those of various previous works of Meo, Russakovskii and Shiffman, Alessandrini and Bassanelli, Dinh and Sibony, and can...
Punti fissi di mappe olomorfe
Quantitative Bloch's theorem for certain classes of holomorphic mappings of the ball into Pn (C).
Quasiconformality of pseudo-conformal transformations and deformations of hypersurfaces in C...
Quasi-homogénéité des applications holomorphes propres d’un domaine quasi-disqué sur un domaine disqué
Nous proposons une généralisation d’un résultat de F. Berteloot et G. Patrizio [1], aux cas des applications holomorphes propres entre domaines quasi-disqués et non nécessairement bornés.
Ramification of the Gauss map of complete minimal surfaces in on annular ends
We study the ramification of the Gauss map of complete minimal surfaces in on annular ends. This is a continuation of previous work of Dethloff-Ha (2014), which we extend here to targets of higher dimension.
Real analytic manifolds in with parabolic complex tangents along a submanifold of codimension one
We will classify -dimensional real submanifolds in which have a set of parabolic complex tangents of real dimension . All such submanifolds are equivalent under formal biholomorphisms. We will show that the equivalence classes under convergent local biholomorphisms form a moduli space of infinite dimension. We will also show that there exists an -dimensional submanifold in such that its images under biholomorphisms , , are not equivalent to via any local volume-preserving holomorphic...
Realtive komplexe Quotienten.
Réduction algébrique d'un morphisme faiblement Kählérien propre et applications.
Reflection principle in higher dimensions.