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Stein domains in Banach algebraic geometry
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
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Open Sets with Stein Hypersurface Sections in Stein Spaces
The Annals of Mathematics, 1997Let \(D\subset \mathbb C^n, n\geq3,\) 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
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Stein–Weiss type inequality on the upper half space and its applications [PDF]
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
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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.
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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.
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K�hlerianity of q-Stein spaces
Archiv der Mathematik, 1996The 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).
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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
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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
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Stein–Weiss inequalities on Morrey spaces
The Journal of AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Salim +3 more
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GLOBAL CONSTRUCTION OF THE NORMALIZATION OF STEIN SPACES
1988Let 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
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Deformation retracts of Stein spaces
Mathematische Annalen, 1997Let \(X\) 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
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Convexity Properties of Analytic Complements in Stein Spaces
2020From 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.
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