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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 Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.

G. Schumacher, F. Campana (1990)

Mathematische Zeitschrift

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

Edoardo Ballico (1980)

Mathematische Annalen

A Strong Rigidity Theorem for a Certain Class of Compact Complex Analytic Surfaces.

Shing-Tung Yau, Jürgen Jost (1985)

Mathematische Annalen

An equivariant version of Grauert's Oka principle.

Peter Heinzner, Frank Kutzschebauch (1995)

Inventiones mathematicae

Analytic structure on locally compact spaces determined by algebras of continuous functions

K. Rusek (1983)

Annales Polonici Mathematici

Analytische Erweiterungen von Produkträumen.

Georg Schumacher, Reynir Axelsson (1978)

Mathematische Zeitschrift

Barth-Lefschetz theorems for singular spaces.

Christian Okonek (1987)

Journal für die reine und angewandte Mathematik

Bounding the degree of solutions to Pfaff equations

Marco Brunella, Luis Gustavo Mendes (2000)

Publicacions Matemàtiques

We study hypersurfaces of complex projective manifolds which are invariant by a foliation, or more generally which are solutions to a Pfaff equation. We bound their degree using classical results on logarithmic forms.

Cohérence de certaines images directes à supports propres dans le cas d’un morphisme fortement $p$ -convexe

J. L. Ermine (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Coleff-Herrera currents, duality, and noetherian operators

Mats Andersson (2011)

Bulletin de la Société Mathématique de France

Let $ℐ$ be a coherent subsheaf of a locally free sheaf $𝒪 (E_{0})$ and suppose that $ℱ = 𝒪 (E_{0}) / ℐ$ has pure codimension. Starting with a residue current $R$ obtained from a locally free resolution of $ℱ$ we construct a vector-valued Coleff-Herrera current $μ$ with support on the variety associated to $ℱ$ such that $φ$ is in $ℐ$ if and only if $μ φ = 0$ . Such a current $μ$ can also be derived algebraically from a fundamental theorem of Roos about the bidualizing functor, and the relation between these two approaches is discussed. By a construction...

Complete Kähler-Einstein Metrics on Bounded Domains Locally of Finite Volume at Some Boundary Points.

Ngaiming Mok (1988)

Mathematische Annalen

Complex Analytic Cones.

Reynir Axelsson, Jón Magnússon (1985/1986)

Mathematische Annalen

Complex-symmetric spaces

Ralf Lehmann (1989)

Annales de l'institut Fourier

A compact complex space $X$ is called complex-symmetric with respect to a subgroup $G$ of the group ${Aut}_{0} (X)$ , if each point of $X$ is isolated fixed point of an involutive automorphism of $G$ . It follows that $G$ is almost $G^{0}$ -homogeneous. After some examples we classify normal complex-symmetric varieties with $G^{0}$ reductive. It turns out that $X$ is a product of a Hermitian symmetric space and a compact torus embedding satisfying some additional conditions. In the smooth case these torus embeddings are classified using...

Convex bodies and algebraic geometry [Book]

Tadao Oda (1988)

Currently displaying 1 – 20 of 98

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Displaying 1 – 20 of 98

A cohomological Steinness criterion for holomorphically spreadable complex spaces

A Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.

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

A Strong Rigidity Theorem for a Certain Class of Compact Complex Analytic Surfaces.

An equivariant version of Grauert's Oka principle.

Analytic structure on locally compact spaces determined by algebras of continuous functions

Analytische Erweiterungen von Produkträumen.

Barth-Lefschetz theorems for singular spaces.

Bounding the degree of solutions to Pfaff equations

Cohérence de certaines images directes à supports propres dans le cas d’un morphisme fortement $p$ -convexe

Coleff-Herrera currents, duality, and noetherian operators

Complete Kähler-Einstein Metrics on Bounded Domains Locally of Finite Volume at Some Boundary Points.

Complex Analytic Cones.

Complex-symmetric spaces

Convex bodies and algebraic geometry [Book]

Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds.

Das formale Prinzip für reduzierte komplexe Räume mit einer schwachen Positivitätseigenschaft.

Deformationen von Keimen eigentlicher, holomorpher Abbildungen.

Dependence of meromorphic mappings

Duality on complex spaces

Currently displaying 1 – 20 of 98