G\'eom\'etrie anab\'elienne temp\'er\'ee
Algebraic Geometry
2010-04-14 v1
Abstract
The tempered fundamental group of a p-adic analytic variety classifies \'etale coverings that become topological coverings (for the Berkovich topology) after finite \'etale base change. I study what can be recovered from the tempered fundamental group. In particular, I prove that, for a Mumford curve, one can recover the metric of the graph of the stable reduction from the tempered fundamental group. I also study how the tempered fundamental group behaves along the fibers of a fibration.
Cite
@article{arxiv.1004.2150,
title = {G\'eom\'etrie anab\'elienne temp\'er\'ee},
author = {Emmanuel Lepage},
journal= {arXiv preprint arXiv:1004.2150},
year = {2010}
}
Comments
PhD thesis; french