25 citations · 75 across the 8 of their papers we have counts for
5 papers · 1 filter
Espaces de Berkovich globaux : catégorie, topologie, cohomologie
Thibaud Lemanissier, Jérôme Poineau
This text contributes to the foundations of the theory of global Berkovich spaces, that is to say Berkovich spaces over Banach rings with nice properties such as , ring…
Espaces de Berkovich sur Z : étude locale
Jérôme Poineau
We investigate the local properties of Berkovich spaces over Z. Using Weierstrass theorems, we prove that the local rings of those spaces are noetherian, regular in the case of aff…
Les espaces de Berkovich sont angéliques
Jérôme Poineau
Although Berkovich spaces may fail to be metrizable when defined over too big a field, we prove that a large part of their topology can be recovered through sequences: for instance…
La droite de Berkovich sur Z
Jérôme Poineau
We study here the Berkovich line over the ring of integers of a number field. It is a natural object which contains complex and non-Archimedean analytic spaces associated to each p…
Un résultat de connexité pour les variétés analytiques p-adiques. Privilège et noethérianité
Jérôme Poineau
Let be a non-Archimedean field, a -affinoid space and an analytic function over . We precisely describe how the geometric connected components of the spaces $\{x…