4 citations · 5 across the 7 of their papers we have counts for
7 papers
Nash structure of curves over a valued field and tame henselian rationality
Antoine Ducros, François Loeser
We provide a new proof, model-theoretic and geometric in nature, of the tame henselian rationality theorem of Kuhlmann. The proof takes place within the framework of stable complet…
Automatic meromorphy in non-archimedean geometry
Antoine Ducros
In this text we prove that if X is a reduced non-archimedean analytic space and f is a analytic function on a dense Zariski-open subspace of X whose zero-locus is closed in X, then…
Tropical functions on a skeleton
Antoine Ducros, Ehud Hrushovski, François Loeser +1
We prove a general finiteness statement for the ordered abelian group of tropical functions on skeleta in Berkovich analytifications of algebraic varieties. Our approach consists i…
Non-archimedean integrals as limits of complex integrals
A. Ducros, E. Hrushovski, F. Loeser
We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in asymptotics of families of complex integrals. To perform this analysis we work ov…
About Hrushovski and Loeser's work on the homotopy type of Berkovich spaces
Antoine Ducros
Those are the notes of the two talks I gave in april 2013 in St-John (US Virgin Islands) during the Simons Symposium on non-Archimedean and tropical geometry. They essentially cons…
Families of Berkovich spaces
Antoine Ducros
This text is devoted to the systematic study of relative properties in the context of Berkovich analytic spaces. We first develop a theory of flatness in this setting. After having…
Étale cohomology of schemes and analytic spaces
Antoine Ducros
Those are notes of a mini-course the author gave in July 2010 at the university Paris 6 (Jussieu) during the summer school of the ANR (Agence nationale de la recherche) BERKO.