Smallness of fundamental groups for arithmetic schemes
Number Theory
2014-02-03 v3
Abstract
The smallness is proved of fundamental groups for arithmetic schemes. This is a higher dimensional analogue of the Hermite-Minkowski theorem. We also refer to the case of varieties over finite fields. As an application, we prove certain finiteness results of representations of the fundamental groups over algebraically closed fields.
Keywords
Cite
@article{arxiv.0803.2096,
title = {Smallness of fundamental groups for arithmetic schemes},
author = {Shinya Harada and Toshiro Hiranouchi},
journal= {arXiv preprint arXiv:0803.2096},
year = {2014}
}
Comments
16 pages, v3:Major revision on Section 3,4. Version published in J. Number Theory 129(2009), 2702-2712