Metrics on universal covering of projective variety
Algebraic Geometry
2014-12-31 v5 Complex Variables
Abstract
Let U be a universal covering of a connected nonsingular projective variety X with large and residually finite fundamental group. We construct metrics on U and provide another version of the uniformization theorem, namely: if the fundamental group of X is, in addition, nonamenable then U is a bounded Stein domain. The Appendix contains a proof of the Shafarevich conjecture provided the fundamental group is residually finite.
Keywords
Cite
@article{arxiv.1209.3128,
title = {Metrics on universal covering of projective variety},
author = {Robert Treger},
journal= {arXiv preprint arXiv:1209.3128},
year = {2014}
}
Comments
25 pages. arXiv admin note: text overlap with arXiv:1008.1745