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arXiv · 1004.2150

Géométrie anabélienne tempérée

Emmanuel Lepage
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Abstract

The tempered fundamental group of a p-adic analytic variety classifies étale coverings that become topological coverings (for the Berkovich topology) after finite étale 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.

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Emmanuel Lepage. 2010-04-13. Géométrie anabélienne tempérée. https://arxiv.org/abs/1004.2150

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