EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 40

Oka manifolds: From Oka to Stein and back

Franc Forstnerič (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

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...

On 2-Dimensional Cousin I-Spaces.

Gunnar Berg (1980)

Mathematische Annalen

On a boundary version of Morera's theorem.

Myslivets, S.G. (2001)

Sibirskij Matematicheskij Zhurnal

On a Domain Equivalent to the Bidisk.

John Wermer (1980)

Mathematische Annalen

On an Estimate of Axler and Shapiro.

T.W. Gamelin (1985)

Mathematische Annalen

On boundary behaviour of Bergman kernel function for plane domains and their Cartesian products

Ewa Ligocka (1983)

Banach Center Publications

On free holomorphic C-actions on Cn and homogeneous Stein manifolds.

Jörg Winkelmann (1990)

Mathematische Annalen

On holomorphically separable complex solv-manifolds

Alan T. Huckleberry, E. Oeljeklaus (1986)

Annales de l'institut Fourier

Let $G$ be a solvable complex Lie group and $H$ a closed complex subgroup of $G$ . If the global holomorphic functions of the complex manifold $X : G / H$ locally separate points on $X$ , then $X$ is a Stein manifold. Moreover there is a subgroup $\hat{H}$ of finite index in $H$ with $π_{1} (G / \hat{H})$ nilpotent. In special situations (e.g. if $H$ is discrete) $H$ normalizes $\hat{H}$ and $H / \hat{H}$ is abelian.

On horospheres and holomorphic endomorfisms of the Siegel disc

Giovanni Bassanelli (1983)

Rendiconti del Seminario Matematico della Università di Padova

On hulls of meromorphy and a class of Stein manifolds

Mihnea Colţoiu (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On k-Pseudoflat Complex Spaces.

Alan T. Huckleberry, Ricardo Nirenberg (1973)

Mathematische Annalen

On matrix Reinhardt domains.

Xiangyu Zhou (1990)

Mathematische Annalen

On meromorphic functions with values in locally convex spaces

Khue Nguyen (1982)

Studia Mathematica

On Non-Compact Complex Nil-Manifolds.

Alan Huckleberry, B. Gilligan (1978)

Mathematische Annalen

On nonimbeddability of Hartogs figures into complex manifolds

E. Chirka, S. Ivashkovich (2006)

Bulletin de la Société Mathématique de France

We prove the impossibility of imbeddings of Hartogs figures into general complex manifolds which are close to an imbedding of an analytic disc attached to a totally real collar. Analogously we provide examples of the so called thin Hartogs figures in complex manifolds having no neighborhood biholomorphic to an open set in a Stein manifold.

On non-Uniqueness of Complex Geodesies in Convex Bounded Domains

Graziano Gentili (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si studiano «combinazioni convesse complesse» per mappe olomorfe dal disco unità di $\mathbb{C}$ in un dominio convesso limitato $D$ di uno spazio di Banach complesso $E$ , e se ne traggono conseguenze sul carattere globale della non unicità per le geodetiche complesse di $D$ .

On Plurigenera of Normal Isolated Singularities. I.

Kimio Watanabe (1980)

Mathematische Annalen

On propagation of boundary continuity of holomorphic functions of several variables

Salla Franzén, Burglind Jöricke (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We prove that continuity properties of bounded analytic functions in bounded smoothly bounded pseudoconvex domains in two-dimensional affine space are determined by their behaviour near the Shilov boundary. Namely, if the function has continuous extension to an open subset of the boundary containing the Shilov boundary it extends continuously to the whole boundary. If it is e.g. Hölder continuous on such a boundary set, it is Hölder continuous on the closure of the domain. The statements may fail...

On proper R-actions on hyperbolic Stein surfaces.

Miebach, Christian, Oeljeklaus, Karl (2009)

Documenta Mathematica

On $q$ -Runge pairs

Mihnea Colţoiu (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We show that the converse of the aproximation theorem of Andreotti and Grauert does not hold. More precisely we construct a $4$ -complete open subset $D \subset ℂ^{6}$ (which is an analytic complement in the unit ball) such that the restriction map $H^{3} (ℂ^{6}, ℱ) \to H^{3} (D, ℱ)$ has a dense image for every $ℱ \in C o h (ℂ^{6})$ but the pair $(D, ℂ^{6})$ is not a $4$ -Runge pair.

Currently displaying 1 – 20 of 40

Page 1 Next