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Holomorphic convexity of spaces of analytic cycles

François Norguet, Yum-Tong Siu (1977)

Bulletin de la Société Mathématique de France

Holomorphic Fiber Bundles whose Fibers are Bounded Stein Domains with Zero First Betti Number.

Yum-Tong Siu (1976)

Mathematische Annalen

Holomorphic Fibrations of Bounded Domains.

Alan Huckleberry (1977)

Mathematische Annalen

Holomorphic line bundles and divisors on a domain of a Stein manifold

Makoto Abe (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $D$ be an open set of a Stein manifold $X$ of dimension $n$ such that $H^{k} (D, 𝒪) = 0$ for $2 \leq k \leq n - 1$ . We prove that $D$ is Stein if and only if every topologically trivial holomorphic line bundle $L$ on $D$ is associated to some Cartier divisor $𝔡$ on $D$ .

Holomorphic line bundles on a domain of a two-dimensional Stein manifold

Makoto Abe (2004)

Annales Polonici Mathematici

Let D be an open subset of a two-dimensional Stein manifold S. Then D is Stein if and only if every holomorphic line bundle L on D is the line bundle associated to some (not necessarily effective) Cartier divisor 𝔡 on D.

Holomorphic q-hulls in top degrees.

Viorel Vajaitu (1996)

Manuscripta mathematica

Holomorphic submersions from Stein manifolds

Franc Forstnerič (2004)

Annales de l’institut Fourier

We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.

Holomorph-prävollständige Resträume zu analytischen Mengen in Steinschen Räumen.

Jürgen Bingener (1976)

Journal für die reine und angewandte Mathematik

Homotopie für Okasche Paare von Garben homogener Räume.

Sandra Hayes (1974)

Mathematische Annalen

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