On geometry of pseudo-reductive groups

DOI10.1080/00927872.2022.2084749OpenAlexW4293055725MaRDI QIDQ5038117

Alexandre Lourdeaux

Publication date: 29 September 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2084749

zbMATH Keywords

Picard groupslinear algebraic groupsWeil restrictionretract rationalitypseudo-reductive groupsimperfect fields

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15)

Cites Work

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• Nombres de Tamagawa et groupes unipotents en caractéristique p
• Retract rational fields and cyclic Galois extensions
• Tamagawa numbers and other invariants of pseudoreductive groups over global function fields
• Classification of Pseudo-reductive Groups (AM-191)
• Résolutions flasques des groupes linéaires connexes
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Néron Models
• La $R$-équivalence sur les tores
• Pseudo-reductive Groups
• Translation-invariant line bundles on linear algebraic groups

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