Fibrations and Stein Neighborhoods

TL;DR

This paper provides a criterion to determine when a fibered compact set in complex space is a Stein compactum, linking complex geometry and fiber structures.

Contribution

It establishes a necessary and sufficient condition for fibered compact sets to be Stein compacta in complex spaces.

Findings

Derived a criterion for Stein compacta in fibered complex spaces

Connected fiber structure with Stein properties

Enhanced understanding of complex space neighborhoods

Abstract

Let Z be a complex space and let S be a compact set in C^n x Z which is fibered over R^n (the real subspace of C^n). We give a necessary and sufficient condition for S to be a Stein compactum.