3 papers
math.AG2026
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…
math.AG2024
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…
math.AG2011
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.