Results 171 to 180 of about 26,245 (203)

Stein domains in Banach algebraic geometry

open access: yesJournal of Functional Analysis, 2018
In this article we give a homological characterization of the topology of Stein spaces over any valued base field. In particular, when working over the field of complex numbers, we obtain a characterization of the usual Euclidean (transcendental ...
Federico Bambozzi   +2 more
exaly   +4 more sources

Open Sets with Stein Hypersurface Sections in Stein Spaces

The Annals of Mathematics, 1997
Let \(D\subset \mathbb C^n, n\geq3,\) be an open set such that for any linear hyperplane \(H\subset \mathbb C^n\) the intersection \(H\cap D\) is Stein. It is natural to raise the following problem of hypersurface sections. Let \(X\) be a Stein space of dimension \(n\geq3\) and \(D\subset X\) an open subset such that \(H\cap D\) is Stein for every ...
Colţoiu, Mihnea, Diederich, Klas
openaire   +2 more sources

Stein–Weiss type inequality on the upper half space and its applications [PDF]

open access: yesMathematische Zeitschrift
In this paper, we establish some Stein–Weiss type inequalities with general kernels on the upper half space and study the extremal functions of the optimal constant.
Zifei Shen   +2 more
exaly   +2 more sources

STEIN FILLINGS OF LENS SPACES

Communications in Contemporary Mathematics, 2003
We describe a foliation by finite energy holomorphic curves of some symplectic manifolds which are constructed from Stein manifolds with Lens space boundaries. One application is that all such Stein manifolds bounded by the same contact Lens space are equivalent up to Stein homotopy.
openaire   +2 more sources

K�hlerianity of q-Stein spaces

Archiv der Mathematik, 1996
The aim of this short paper is to show that \(q\)-Stein spaces, recently introduced by the reviewer and \textit{A. Silva} [Math. Ann. 296, No. 4, 649-665 (1993; Zbl 0788.32007)] are (globally) strongly Kähler. The method gives also an alternative proof of the \(q\)-completeness \((q=0\) is the classical case of Stein spaces).
openaire   +3 more sources

Embeddings of Stein Spaces

1986
As we shall see in Chapter VI, the possibility of finding an embedding of a real analytic variety or space into Rq is closely related to the fact that the Stein spaces (whether reduced or not) of type N can be embedded into ℂn.
Francesco Guaraldo   +2 more
openaire   +1 more source

Stein–Weiss inequalities on Morrey spaces

The Journal of Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Salim   +3 more
openaire   +1 more source

GLOBAL CONSTRUCTION OF THE NORMALIZATION OF STEIN SPACES

1988
Let X be a Stein space, \(\tilde X\) its normalization. Stein spaces X can be completely described by the algebra \({\mathcal O}(X)\) of global holomorphic functions. The question is can the normalization \(\tilde X\) of X be constructed just from the holomorphic functions on X.
Hayes, Sandra, Pourcin, Geneviève
openaire   +2 more sources

Deformation retracts of Stein spaces

Mathematische Annalen, 1997
Let \(X\) be an \(n\)-dimensional Stein space. It was proved by \textit{H. Hamm} [J. Reine Angew. Math. 338, 121-135 (1983; Zbl 0491.32010); J. Reine Angew. Math. 364, 1-9 (1986; Zbl 0567.32005)], \textit{M.Goresky} and \textit{R. MacPherson} [Stratified Morse Theory.
Hamm, Helmut A., Mihalache, Nicolae
openaire   +1 more source

Convexity Properties of Analytic Complements in Stein Spaces

2020
From the Introduction: ``It is well known that geometric convexity properties of complex manifolds or, more generally, complex spaces, imply strong analytic consequences. For the case of geometric 1-completeness this is the heart of the solution of the Levi problem together with Theorem B of Cartan and Serre; more generally, for \(q\)-completeness this
Coltoiu, M., Diederich, K.
openaire   +2 more sources

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