Holomorphic bijections of algebraic sets
We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].
Holomorphic Bloch spaces on the unit ball in
This work is an introduction to anisotropic spaces of holomorphic functions, which have -weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding space. We establish a description of via the Bloch classes for all .
Holomorphic Conformal Structures and Uniformization of Complex Surfaces.
Holomorphic Continuation at a Totally Real Edge.
Holomorphic convexity of spaces of analytic cycles
Holomorphic Dirichlet Series in Several Variables.
Holomorphic distribution of CR-submanifolds of a complex projective space.
Holomorphic embeddings of planar domains into C².
Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin.
Holomorphic Equivalence Problem for Bounded Reinhardt Domains.
Holomorphic equivariant cohomology.
Holomorphic extension from the sphere to the ball in Hilbert space
Holomorphic extension from weakly pseudoconcave CR manifolds
Holomorphic extension maps for spaces of Whitney jets.
The key result (Theorem 1) provides the existence of a holomorphic approximation map for some space of C∞-functions on an open subset of Rn. This leads to results about the existence of a continuous linear extension map from the space of the Whitney jets on a closed subset F of Rn into a space of holomorphic functions on an open subset D of Cn such that D ∩ Rn = RnF.
Holomorphic extension of generalizations of functions.
Holomorphic extension of generalizations of functions. II.
Holomorphic extension to open hulls
Holomorphic extensions of formal objects
We are interested on families of formal power series in parameterized by (). If every is a polynomial whose degree is bounded by a linear function ( for some and ) then the family is either convergent or the series for all except a pluri-polar set. Generalizations of these results are provided for formal objects associated to germs of diffeomorphism (formal power series, formal meromorphic functions, etc.). We are interested on describing the nature of the set of parameters where...
Holomorphic Families of Open Riemann Surfaces.
Holomorphic Fiber Bundles whose Fibers are Bounded Stein Domains with Zero First Betti Number.