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math.AG2019★ 2 cited
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…
math.AG2019★ 1 cited
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…