13 citations · 21 across the 12 of their papers we have counts for
7 papers · 1 filter
Affine vs. Stein in rigid geometry
Marco Maculan, Jérôme Poineau
We investigate the relationship between affine and Stein varieties in the context of rigid geometry. We show that the two concepts are much more closely related than in complex geo…
Schottky spaces and universal Mumford curves over
Jérôme Poineau, Daniele Turchetti
For every integer we define a universal Mumford curve of genus in the framework of Berkovich spaces over . This is achieved in two steps: first, we build…
Berkovich curves and Schottky uniformization
Jérôme Poineau, Daniele Turchetti
This text is an exposition of non-Archimedean curves and Schottky uniformization from the point of view of Berkovich geometry. It consists of two parts, the first one of an introdu…
Definable sets of Berkovich curves
Pablo Cubides Kovacsics, Jérôme Poineau
In this article, we functorially associate definable sets to -analytic curves, and definable maps to analytic morphisms between them, for a large class of -analytic curves. G…
Notions of Stein spaces in non-archimedean geometry
Marco Maculan, Jérôme Poineau
Let be a non-archimedean complete valued field and be a -analytic space in the sense of Berkovich. In this note, we prove the equivalence between three properties: 1) fo…
On the number of connected components of the ramification locus of a morphism of Berkovich curves
Velibor Bojković, Jérôme Poineau
Let be a complete, nontrivially valued non-archimedean field. Given a finite morphism of quasi-smooth -analytic curves that admit finite triangulations, we provide upper bou…
Polynomial approximation of Berkovich spaces and definable types
Jérôme Poineau
We investigate affine Berkovich spaces over maximally complete fields and prove that they may be approximated by simpler spaces when the only functions we need to evaluate are poly…