On a conjecture of Shafarevich
Robert Treger
TL;DR
This paper proves Shafarevich's conjecture regarding universal coverings of projective manifolds under the condition that their fundamental group is residually finite.
Contribution
It establishes the conjecture for a broad class of projective manifolds with residually finite fundamental groups.
Findings
Proved Shafarevich's conjecture for residually finite fundamental groups.
Connected universal coverings to properties of the fundamental group.
Extended understanding of the structure of projective manifolds.
Abstract
We prove a conjecture of Shafarevich about universal coverings of projective manifolds provided the fundamental group is residually finite.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Algebra and Geometry