TL;DR
This paper proves that a bounded domain in a Stein space covering a compact complex space must be smooth, providing a negative answer to Kollár's question and deriving related results.
Contribution
It establishes a new criterion linking bounded domains in Stein spaces to smoothness of the covered space, answering Kollár's question negatively.
Findings
Bounded domains in Stein spaces covering compact complex spaces are smooth.
Negative answer to Kollár's question about such coverings.
Derived related results on complex space coverings.
Abstract
We show: If a bounded domain in a Stein space covers a compact complex space, it must be smooth. This give a negative answer to a question of Koll\'ar. Furthermore, we deduce some related results.
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Taxonomy
TopicsGeometric and Algebraic Topology · Holomorphic and Operator Theory · Advanced Operator Algebra Research