A. Ducros

activity

20052024

most citedFormes différentielles réelles et courants sur les espaces de Berkovich

67 citations · 96 across the 13 of their papers we have counts for

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Showing 2012 · math.AGShow all

3 papers · 2 filters

math.AG2012

Les espaces de Berkovich sont modérés, d'après E. Hrushovski et F. Loeser

Antoine Ducros

This is the (revised) printed version of the talk no 1056 (june 2012) of the Bourbaki seminar, which will be published in an Astérisque volume. This is a report on a paper by Hrush…

math.AG2012★ 67 cited

Formes différentielles réelles et courants sur les espaces de Berkovich

Antoine Chambert-Loir, Antoine Ducros

We define a theory of real $(p, q)$ -forms and currents on Berkovich spaces which is parallel to the theory of differential forms on complex spaces. It is based on Lagerberg's theory…

math.AG2012★ 4 cited

Espaces de Berkovich, polytopes, squelettes et théorie des modèles

Antoine Ducros

Let $X$ be an analytic space over a non-Archimedean, complete field $k$ and let $(f_{1}, ..., f_{n})$ be a family of invertible functions on $X$ . Let $ϕ$ the morphism $X \to G_{m}^{n}$ induc…