25 citations · 75 across the 8 of their papers we have counts for
9 papers
Dynamique analytique sur . II : Écart uniforme entre Lattès et conjecture de Bogomolov-Fu-Tschinkel
Jérôme Poineau
We prove that the mutual energy (or the intersection product in the sense of Arakelov theory) of two dynamical systems associated to Lattès morphisms over is unif…
Dynamique analytique sur . I : Mesures d'équilibre sur une droite projective relative
Jérôme Poineau
Consider a Berkovich space over a good Banach ring and the relative projective line over it. (It is a space whose fibers are projective lines over different complete valued fields.…
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…
Sur les composantes connexes d'une famille d'espaces analytiques p-adiques
Jérôme Poineau
Let be an affinoid space and let . We study the sets of connected components of the spaces defined by an inequality of the form , with $r…
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…
Raccord sur les espaces de Berkovich
Jérôme Poineau
Let be a Berkovich space over a valued field. We prove that every finite group is a Galois group over $\Ms(B)(T)$, where $\Ms(B)$ is the field of meromorphic functions over a 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…