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A cohomological Steinness criterion for holomorphically spreadable complex spaces

Viorel Vâjâitu (2010)

Czechoslovak Mathematical Journal

Let $X$ be a complex space of dimension $n$ , not necessarily reduced, whose cohomology groups $H^{1} (X, 𝒪), ..., H^{n - 1} (X, 𝒪)$ are of finite dimension (as complex vector spaces). We show that $X$ is Stein (resp., $1$ -convex) if, and only if, $X$ is holomorphically spreadable (resp., $X$ is holomorphically spreadable at infinity). This, on the one hand, generalizes a known characterization of Stein spaces due to Siu, Laufer, and Simha and, on the other hand, it provides a new criterion for $1$ -convexity.

A Counterexample for the Levi Problem for the Branched Riemann Domains over Cn.

John Erik Fornaess (1978)

Mathematische Annalen

A Generalization of Schwarz Lemma.

Hajime Tsuji (1981)

Mathematische Annalen

A Levi Problem on Two-Dimensional Complex Manifolds.

Klas Diederich, Takeo Ohsawa (1982)

Mathematische Annalen

A propos de revêtements ramifiés d'espaces de Stein.

P. Le Barz (1976)

Mathematische Annalen

A relative embedding theorem for Stein spaces

F. Acquistapace, F. Broglia, A. Tognoli (1975)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A Remark on a Paper by S.R. Bell.

J.E. Fornaess, K. Diederich (1981)

Manuscripta mathematica

A Remark on a Theorem by Fornaess and Narasimhan About the Levi Problem.

Edoardo Ballico (1980)

Mathematische Annalen

A remark on runge approximation of meromorphic functions

Klaus Hulek (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A Remark on the Local Stein-Ness Problem.

Mihnea Coltoiu, Nicolae Mihalache (1983)

Mathematische Annalen

A theorem on complete intersection curves and a consequence for the runge problem for analytic sets

Antonio Cassa (1978)

Compositio Mathematica

Action d'une forme réelle d'un groupe de Lie complexe sur les fonctions plurisousharmoniques

Jean-Jacques Loeb (1985)

Annales de l'institut Fourier

Soit $G_{C}$ un groupe de Lie complexe et $G_{R}$ une forme réelle fermée de $G_{C}$ . Un couple $(G_{C}, G_{R})$ est dit pseudo-convexe, s’il existe sur $G_{C}$ une fonction régulière, strictement p.s.h., invariante par l’action de $G_{R}$ et d’exhaustion sur $G_{C} / G_{R}$ . On dit que $G_{R}$ est à spectre imaginaire pur, si pour tout $X$ de Lie $(G_{R})$ , les valeurs propres de ad $X$ sont imaginaires pures. Pour $G_{C}$ à radical simplement connexe, cette dernière propriété équivaut à la pseudo-convexité de $(G_{C}, G_{R})$ . Pour $(G_{C}, G_{R})$ pseudo-convexe et sous une hypothèse de sous-groupe discret,...

Currently displaying 1 – 20 of 21

Page 1 Next

Displaying 1 – 20 of 21

A cohomological Steinness criterion for holomorphically spreadable complex spaces

A Counterexample for the Levi Problem for the Branched Riemann Domains over Cn.

A Generalization of Schwarz Lemma.

A Levi Problem on Two-Dimensional Complex Manifolds.

A propos de revêtements ramifiés d'espaces de Stein.

A relative embedding theorem for Stein spaces

A Remark on a Paper by S.R. Bell.

A Remark on a Theorem by Fornaess and Narasimhan About the Levi Problem.

A remark on runge approximation of meromorphic functions

A Remark on the Local Stein-Ness Problem.

A theorem on complete intersection curves and a consequence for the runge problem for analytic sets

Action d'une forme réelle d'un groupe de Lie complexe sur les fonctions plurisousharmoniques

Algebraic approximation in analytic geometry.

All Plane Domains are Banach-Stein.

An equivariant version of Grauert's Oka principle.

An Increasing Sequence of Stein Manifolds whose Limit is not Stein.

Analytic Structure in the Spectra of Certain uF-Algebras.

Analytische Hyperflächen mit vorgegebenen Singularitäten*.

Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein

Approximation and cohomology vanishing properties of low-dimensional compact sets in a Stein manifold.

Currently displaying 1 – 20 of 21