Groupes de Brauer algébriques modulo les constantes d’espaces homogènes et leurs compactifications

Let $X$ be a smooth, geometrically integral variety without non-constant invertible functions over a field $K$. Then the quotient of the “algebraic” Brauer group of $X$ by $\mathrm{Br}\,K$ injects into $\mathrm{H}^1(K,\mathrm{Pic}{\overline{X}})$. We show that this inclusion is not always an isomorp...

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Bibliographic Details
Main Author: Linh, Nguyen Manh
Format: Article
Language:English
Published: Académie des sciences 2024-07-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.587/
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