In this paper we obtain existence and approximation results for closed complex subvarieties that are normalized by strongly pseudoconvex Stein domains.
COBISS.SI-ID: 15549529
We prove that for a holomorphic submersion of reduced complex spaces, the basic Oka property implies the parametric Oka property. It follows that a stratified subelliptic submersion, or a stratified fiber bundle whose fibers are Oka manifolds, enjoys the parametric Oka property.
COBISS.SI-ID: 15533657
Motivated by a result and a question by E. M. Chirka we consider the Hartogs' extension property for some connected sets in $\mathbb{C}\sp 2$ of the form $ K=\Sigma\cup(\partial\Delta\times\overline{\Delta})$, where $ \Sigma$ is a possibly nonconnected compact subset of $ \overline{\Delta}\times\overline{\Delta}\subset\mathbb{C}\sp 2$.
COBISS.SI-ID: 15696473
Let $ Z$ be a complex space and let $ S$ be a compact set in $ \mathbb{C}^n \times Z$ which is fibered over $ \mathbb{R}^n$. We give a necessary and sufficient condition for $ S$ to be a Stein compactum.
COBISS.SI-ID: 15876441
The main result of this paper is proof of the relative h-principle for sections of elliptic holomorphic submersions over 1-convex complex spaces.
COBISS.SI-ID: 15641433