Results 11 to 20 of about 19,706 (253)
On the Theory of Stein Manifolds [PDF]
This paper examines the broad structure on Stein manifolds and how it generalizes the notion of a domain of holomorphy in $\mathbb C^n$. Along with this generalization, we see that Stein manifolds share key properties from domains of holomorphy, and we prove one of these major consequences.
Dustin Tran
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Stein structures and holomorphic mappings
We prove that every continuous map from a Stein manifold X to a complex manifold Y can be made holomorphic by a homotopic deformation of both the map and the Stein structure on X.
A. Andreotti +45 more
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An increasing sequence of stein manifolds whose limit is not Stein
This question was raised in 1933 by Behnke-Thullen [2] in the case when M is an open subset of complex Euclidean space. In the same paper they solved this problem for various special domains M. The problem was solved affirmatively for arbitrary open subsets M in IF" by Behnke-Stein [1, 1938]. K.
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New examples of Stein manifolds with volume density property [PDF]
Giorgio De Vito
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The topology of Stein fillable manifolds in high dimensions I [PDF]
Jonathan Bowden +2 more
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Stein fillable Seifert fibered 3–manifolds [PDF]
18 pages, 6 figures; added one ...
Lecuona, Ana G, Lisca, Paolo
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Oka manifolds: From Oka to Stein and back [PDF]
Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert's classification of principal holomorphic fiber bundles over Stein spaces.
Forstneric, Franc
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Stein fillings of contact 3-manifolds obtained as Legendrian surgeries [PDF]
In this note, we classify Stein fillings of an infinite family of contact 3-manifolds up to diffeomorphism. Some contact 3-manifolds in this family can be obtained by Legendrian surgeries on $(S^3,\xi_{std})$ along certain Legendrian 2-bridge knots.
Kaloti, Amey, Li, Youlin
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LOCAL SYSTEMS ON COMPLEMENTS OF ARRANGEMENTS OF SMOOTH, COMPLEX ALGEBRAIC HYPERSURFACES
We consider smooth, complex quasiprojective varieties $U$ that admit a compactification with a boundary, which is an arrangement of smooth algebraic hypersurfaces. If the hypersurfaces intersect locally like hyperplanes,
GRAHAM DENHAM, ALEXANDER I. SUCIU
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Non-algebraic Examples of Manifolds with the Volume Density Property [PDF]
Some Stein manifolds (with a volume form) have a large group of (volume-preserving) automorphisms: this is formalized by the (volume) density property, which has remarkable consequences.
Ramos-Peon, Alexandre
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