7 citations · 12 across the 5 of their papers we have counts for
6 papers
Resolution of non-singularities and the absolute anabelian conjecture
Emmanuel Lepage
Given two hyperbolic curves over p-adic local fields, the absolute anabelian conjecture claims that any isomorphism between their étale fundamental group comes from an isomorphism…
Resolution of non-singularities for Mumford curves
Emmanuel Lepage
Given a Mumford curve over , we show that for every semistable model of and every closed point of this semistable model, there exists a…
Géométrie anabélienne tempérée
Emmanuel Lepage
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…
Coverings in p-adic analytic geometry and log coverings I: Cospecialization of the (p')-tempered fundamental group for a family of curves
Emmanuel Lepage
The tempered fundamental group of a p-adic analytic space classifies coverings that are dominated by a topological covering (for the Berkovich topology) of a finite etale covering…
Coverings in p-adic analytic geometry and log coverings II: Cospecialization of the p'-tempered fundamental group in higher dimensions
Emmanuel Lepage
This paper constructs cospecialization homomorphisms between the (p') versions of the tempered fundamental group of the fibers of a smooth morphism with polystable reduction (the t…
Tempered fundamental group and metric graph of a Mumford curve
Emmanuel Lepage
This paper is an attempt to give some general results on the tempered fundamental group of a -adic smooth algebraic varieties (which is a sort of analog of the topologic fundame…