3 papers
math.AG2026
Les squelettes accessibles d'un espace de Berkovich
Antoine Ducros, Amaury Thuillier
We define a class of skeletons on Berkovich analytic spaces, which we call "accessible", which contains the standard skeleton of the n-dimensional torus for every n and is preserve…
math.AG2026
Utilisation de l'aplatissement en géométrie de Berkovich
Antoine Ducros
In this article, we carry out the flattening techniques developped in a former work in order to ``embellish" a map between compact analytic spaces, to describe the structure of its…
math.AG2025
Formes différentielles réelles et courants sur les espaces de Berkovich
Antoine Chambert-Loir, Antoine Ducros
We define a theory of real -forms and currents on Berkovich spaces which is parallel to the theory of differential forms on complex spaces. It is based on Lagerberg's theory…