A characterization of proper regular mappings
Let X, Y be complex affine varieties and f:X → Y a regular mapping. We prove that if dim X ≥ 2 and f is closed in the Zariski topology then f is proper in the classical topology.
A domain in Cm not containing any proper image of the unit disc.
A note on Costara's paper
We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
A pseudoconcave generalization of Grauert's direct image theorem : I
A pseudoconcave generalization of Grauert's direct image theorem : II
A Reflection Principle for Proper Holomorphic Mappings and Geometric Invariants.
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.
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.
Approximation by proper holomorphic maps into convex domains
Attracting divisors on projective algebraic varieties
We obtain sufficient and necessary conditions (in terms of positive singular metrics on an associated line bundle) for a positive divisor D on a projective algebraic variety X to be attracting for a holomorphic map f:X → X.
Attraction des disques analytiques et continuité Höldérienne d'applications holomorphes propres
Auto-applications holomorphes propies des domaines polynomiaux rigides de C2.
We show that proper holomorphic self maps of pseudoconvex rigid polynomial domains in C2 are automorphisms.
Biholomorphic mappings between bounded domains in Cn.
Boundary Behavior of Proper Holomorphic Correspondences.
Boundary Interpolation and Proper Holomorphic Maps from the Disc to the Ball.
Boundary Interpolation by Proper Holomorphic Maps.
Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions [Book]
Covering spaces of families of compact Riemann surfaces.
Discs in pseudoconvex domains.
Discs in the Ball Containing Given Discrete Sets.