O Serre-Duality for coherent sheaves on rigid-analytic spaces.
Obstructions to generic embeddings
Let be a relatively closed subset of a Stein manifold. We prove that the -cohomology groups of Whitney forms on and of currents supported on are either zero or infinite dimensional. This yields obstructions of the existence of a generic embedding of a CR manifold into any open subset of any Stein manifold, namely by the nonvanishing but finite dimensionality of some intermediate -cohomology groups.
Offenheit der Versalität in der analytischen Geoemtrie.
Oka manifolds: From Oka to Stein and back
Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert’s classification of principal holomorphic fiber bundles over Stein spaces. Modern Oka theory concerns holomorphic maps from Stein manifolds and Stein spaces to Oka manifolds. It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 1989.In this expository paper we discuss Oka manifolds and Oka maps. We describe equivalent characterizations...
Oka' s inequality for currents and applications.
O-minimal version of Whitney's extension theorem
This is a generalized and improved version of our earlier article [Studia Math. 124 (1997)] on the Whitney extension theorem for subanalytic -Whitney fields (with p finite). In this new version we consider Whitney fields definable in an arbitrary o-minimal structure on any real closed field R and obtain an extension which is a -function definable in the same o-minimal structure. The Whitney fields that we consider are defined on any locally closed definable subset of Rⁿ. In such a way, a local...
On 2-Dimensional Cousin I-Spaces.
On 3-graded Lie algebras, Jordan pairs and the canonical kernel function.
On a boundary version of Morera's theorem.
On a character of the automorphism group of a compact com-plex manifold.
On a characterization of the analytic and meromorphic functions defined on some rigid domains
On a class of tangential Cauchy-Riemann maps
On a class of -equations without solutions
In this note we construct -equations (inhomogeneous Cauchy-Riemann equations) without solutions. The construction involves Bochner-Martinelli type kernels and differentiation with respect to certain parameters in appropriate directions.
On a construction of the normal Cartan connections for CR-structures
On a distance defined by the length spectrum on Teichmüller space.
On a Domain Equivalent to the Bidisk.
On a generalization of Fueter's theorem.
On a Generalization of the Hopf Fibration, III. (Subvarieties in the C-Spaces).
On a group of holomorphic transformations in
On a Minimal Complex Norm that Extends the Real Euclidean Norm.