Results 221 to 230 of about 19,706 (253)

A generalization of Stein manifolds

European Journal of Mathematics, 2022
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ozan günyüz
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COHOMOGENEITY TWO HYPERBOLIC ACYCLIC STEIN MANIFOLDS

International Journal of Mathematics, 1992
Let \(K_ 0\) be a compact Lie group acting holomorphically on the complex manifold \(X\) by holomorphic transformations. The cohomogeneity of the notion is the real dimension of the orbit space \(X/K_ 0\). The following theorem is the main result of the paper: Theorem.
Abate, Marco, Geatti, Laura
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Antiholomorphic Involutions on Stein Manifolds

International Journal of Mathematics, 2003
We demonstrate the uniqueness of an antiholomorphic involution on a certain class of Stein manifolds. Examples are given to show why this uniqueness no longer holds without some topological assumptions.
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AFFINE VARIETIES AND STEIN MANIFOLDS

International Journal of Mathematics, 1991
We give some examples of Stein manifolds which are not diffeomorphic, as oriented manifolds, to any smooth affine algebraic variety. Some of these examples are in complex dimension 2.
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Discs in Stein manifolds

Indiana University Mathematics Journal, 2000
The author proves the following beautiful Theorem: Let \(M\) be a Stein manifold with \(\dim M\geq 2\). Given a point \(p\in M\) and a tangent vector \(X\) to \(M\) at \(p\), there is a proper holomorphic map \(f\) from the open disc \(\Delta= \{|z|
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Stein Manifolds and Holomorphic Mappings

Ergebnisse Der Mathematik Und Ihrer Grenzgebiete, 2011
Franc Forstneric
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A Stein Criterion Via Divisors for Domains Over Stein Manifolds

MATHEMATICA SCANDINAVICA, 2014
It is shown that a domain $X$ over a Stein manifold is Stein if the following two conditions are fulfilled: a) the cohomology group $H^i(X,\mathscr{O})$ vanishes for $i \geq 2$ and b) every topologically trivial holomorphic line bundle over $X$ admits a non-trivial meromorphic section. As a consequence we recover, with a different proof, a known result
Daniel Breaz, Viorel Vâjâitu
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