Dévisser, découper, éclater et aplatir les espaces de Berkovich

Abstract

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 for dealing with the analogous problem in scheme theory. As an application, we give a general description of the image of an arbitrary morphism between compact analytic spaces.

In French. This is the (almost) final version, to appear in Compositio Mathematica

References in corpus (2)

• Raccord sur les espaces de Berkovich
• Overconvergent subanalytic subsets in the framework of Berkovich spaces