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arXiv · 1906.00301

D\'evisser, d\'ecouper, \'eclater et aplatir les espaces de Berkovich

Antoine Ducros
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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.

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Antoine Ducros. 2019-06-01. D\'evisser, d\'ecouper, \'eclater et aplatir les espaces de Berkovich. https://doi.org/10.1112/s0010437x20007459

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