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Abstract : We compute the p-adic étale and the pro-etale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the p-adic pro-étale cohomology of p-adic Stein spaces.
Résumé : On calcule les cohomologies étale et pro-étale p-adiques de l'espace de Drinfeld en dimension arbitraire. L'ingrédient principal est un nouveau théorème de comparaison pour la cohomologie pro-étale des espaces de Stein p-adiques.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01952500 Contributor : Gabriel DospinescuConnect in order to contact the contributor Submitted on : Wednesday, December 12, 2018 - 11:23:53 AM Last modification on : Saturday, December 4, 2021 - 4:03:59 AM Long-term archiving on: : Wednesday, March 13, 2019 - 1:11:16 PM
Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol. COHOMOLOGY OF p-ADIC STEIN SPACES. Inventiones Mathematicae, Springer Verlag, In press. ⟨ensl-01952500⟩