Algebraic varieties with semialgebraic universal cover
J\'anos Koll\'ar, John Pardon
TL;DR
This paper investigates projective varieties whose universal covers are semialgebraic open subsets of projective varieties, exploring their geometric and algebraic properties.
Contribution
It introduces a framework for understanding varieties with semialgebraic universal covers and analyzes their structural characteristics.
Findings
Characterization of varieties with semialgebraic universal covers
Conditions under which universal covers are semialgebraic
Implications for the structure of projective varieties
Abstract
We study projective varieties whose universal cover is biholomorphic to a semialgebraic open subset of a projective variety.
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