Results 11 to 20 of about 19,706 (253)

On the Theory of Stein Manifolds [PDF]

open access: green, 2014
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
openalex   +3 more sources

Stein structures and holomorphic mappings

open access: yesMathematische Zeitschrift, 2007
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
core   +4 more sources

An increasing sequence of stein manifolds whose limit is not Stein

open access: yesMathematische Annalen, 1976
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.
openaire   +4 more sources

The topology of Stein fillable manifolds in high dimensions I [PDF]

open access: greenProceedings of the London Mathematical Society, 2014
Jonathan Bowden   +2 more
openalex   +3 more sources

Stein fillable Seifert fibered 3–manifolds [PDF]

open access: yesAlgebraic & Geometric Topology, 2011
18 pages, 6 figures; added one ...
Lecuona, Ana G, Lisca, Paolo
openaire   +4 more sources

Oka manifolds: From Oka to Stein and back [PDF]

open access: yes, 2013
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
core   +2 more sources

Stein fillings of contact 3-manifolds obtained as Legendrian surgeries [PDF]

open access: yes, 2015
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
core   +1 more source

LOCAL SYSTEMS ON COMPLEMENTS OF ARRANGEMENTS OF SMOOTH, COMPLEX ALGEBRAIC HYPERSURFACES

open access: yesForum of Mathematics, Sigma, 2018
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
doaj   +1 more source

Non-algebraic Examples of Manifolds with the Volume Density Property [PDF]

open access: yes, 2016
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
core   +2 more sources

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