1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AG2007★ 1 cited
Les espaces de Berkovich sont excellents
Antoine Ducros
In this paper, we first study the local rings of a Berkovich analytic space from the point of view of commutative algebra. We show that those rings are excellent ; we introduce the…
math.AG2006
Finitude cohomologique des morphismes propres en géométrie algébrique : une preuve transcendante sans techniques projectives
Antoine Ducros
We propose here a transcendantal proof of the coherence of the higher direct images of a coherent sheaf by a proper morphism of algebraic varieties, which does not use Chow's lemma…
math.AG2005
Triangulation et cohomologie étale sur une courbe analytique
Antoine Ducros
Let be a non-archimedean complete valued field and let X be a smooth Berkovich analytic -curve. Let be a finite locally constant étale sheaf on whose torsion is prim…