On a conjecture of Shafarevich

2010/08/10 by Treger, Robert
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1008.1745

Abstract

We prove a conjecture of Shafarevich about universal coverings of projective manifolds provided the fundamental group is residually finite.

Related

• Linear Shafarevich Conjecture
• Metrics on universal covering of projective variety
• Complex projective surfaces and infinite groups
• Orbifold kähler groups and the shafarevich conjecture for hirzebruch's covering surfaces with equal weights
• Shafarevich mappings and period mappings