P1-0291 — Annual report 2010
1.
B. Drinovec Drnovšek, F. Forstnerič, Strongly pseudoconvex domains as subvarieties of complex manifolds.

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
2.
FORSTNERIČ, Franc, Oka maps.

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
3.
ČERNE, Miran, FLORES, Manuel. Some remarks on Hartogs' extension lemma.

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
4.
FORSTNERIČ, Franc, WOLD, Erlend Fornass: Fibrations and Stein neighborhoods.

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
5.
J. Prezelj: A relative Oka-Grauert principle for holomorphic submersions over 1-convex spaces

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