## 2 Citations

### Stein neighbourhoods of bordered complex curves attached to holomorphically convex sets

- Mathematics
- 2021

In this paper we construct open Stein neighbourhoods of compact sets of the form A ∪ K in a complex space, where K is a compact holomorphically convex set, A is a compact complex curve with boundary…

### Recent developments on Oka manifolds

- Mathematics
- 2020

A BSTRACT . This paper is a survey of developments in Oka theory since the publication of my book Stein Manifolds and Holomorphic Mappings (The Homotopy Principle in Complex Analysis) , Second…

## References

SHOWING 1-10 OF 36 REFERENCES

### Strongly pseudoconvex domains as subvarieties of complex manifolds

- Mathematics
- 2007

In this paper we obtain existence and approximation results for closed complex subvarieties that are normalized by strongly pseudoconvex Stein domains. Our sufficient condition for the existence of…

### Interpolation by holomorphic automorphisms and embeddings in Cn

- Mathematics
- 1999

Let n > 1 and letCndenote the complex n-dimensional Euclidean space. We prove several jet-interpolation results for nowhere degenerate entire mappings F:Cn →Cnand for holomorphic automorphisms ofCnon…

### Noncritical holomorphic functions on Stein manifolds

- Mathematics
- 2002

We prove that every Stein manifold X of dimension n admits [(n+1)/2] holomorphic functions with pointwise independent differentials, and this number is maximal for every n. In particular, X admits a…

### The density property for complex manifolds and geometric structures

- Mathematics
- 2001

Definition Let g be a Lie algebra of holomorphic vector fields. We say that g has the density property if the Lie subalgebra of g generated by the complete vector fields in g is dense in g. When the…

### Optimality for totally real immersions and independent mappings of manifolds into C^N

- Mathematics
- 2012

The optimal target dimensions are determined for totally real immersions and for independent mappings into complex affine spaces. Our arguments are similar to those given by Forster, but we use…

### Stability of polynomial convexity of totally real sets

- Mathematics
- 1986

We show that certain compact polynomially convex subsets of C' remain polynomially convex under sufficiently small C2 perturbations. 1. Statement of the results. Let M be a Stein manifold. Denote by…

### Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis

- Mathematics
- 2011

Preliminaries. - Stein Manifolds. - Stein Neighborhoods and Holomorphic Approximation. - Automorphisms of Complex Euclidean Spaces. - Oka Manifolds. - Elliptic Complex Geometry and Oka Principle. -…

### TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2

- Mathematics
- 1990

In this paper I give a completed topological characterization of Stein manifolds of complex dimension >2. Another paper (see [E14]) is devoted to new topogical obstructions for the existence of a…

### Proper holomorphic embeddings into stein manifolds with the density property

- Mathematics
- 2016

We prove that a Stein manifold of dimension d admits a proper holomorphic embedding into any Stein manifold of dimension at least 2d + 1 satisfying the holomorphic density property. This generalizes…