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A classification of strictly pseudoconcave homogeneous manifolds

A. T. Huckleberry, D. Snow (1981)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A finiteness theorem for holomorphic Banach bundles

Jürgen Leiterer (2007)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $E$ be a holomorphic Banach bundle over a compact complex manifold, which can be defined by a cocycle of holomorphic transition functions with values of the form $id + K$ where $K$ is compact. Assume that the characteristic fiber of $E$ has the compact approximation property. Let $n$ be the complex dimension of $X$ and $0 \leq q \leq n$ . Then: If $V \to X$ is a holomorphic vector bundle (of finite rank) with $H^{q} (X, V) = 0$ , then $dim H^{q} (X, V \otimes E) < \infty$ . In particular, if $dim H^{q} (X, 𝒪) = 0$ , then $dim H^{q} (X, E) < \infty$ .

Displaying 1 – 9 of 9

A classification of strictly pseudoconcave homogeneous manifolds

A finiteness theorem for holomorphic Banach bundles

A Reduction Theorem for Cohomology Groups of Very Strongly q-convex Kähler Manifolds.

Algebraic and analytic cohomology of quasiprojective varieties.

Algebraische Varietäten und q-vollständige komplexe Räume.

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

Approximation theorems and homology of q-Runge domains in complex spaces.

Asymptotic Morse inequalities for pseudoconcave manifolds

Automorphism Groups of Algebraic Function Fields.

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