67 citations · 96 across the 13 of their papers we have counts for
13 papers
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…
La structure des courbes analytiques
Antoine Ducros
This is a work in progress, far from being in its final form whose purpose is to investigate thoroughly the structure of Berkovich analytic curves and its relation with the semi-st…
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…
Dévisser, découper, éclater et aplatir les espaces de Berkovich
Antoine Ducros
We develop in this article flattening techniques for coherent sheaves in the realm of Berkovich spaces; we are inspired by the general strategy that Raynaud and Gruson have used fo…
Réduction en famille d'espaces affinoïdes
Antoine Ducros
Let be a non-archimedean complete field. We prove a substitute for the reduced fiber theorem (of Bosch, Lütkebohmert and Raynaud) that holds for every morphism flat an…
Introduction à la théorie des schémas
Antoine Ducros
I have merged the lecture notes (in french) of two 24 hour courses I taught at the university Pierre-et-Marie Curie (Paris 6) during the first semester of the academic year 2013-20…