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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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2024-07-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.587/ |
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