Picard groups of algebraic groups and an affineness criterion

DOI10.5802/crmath.419OpenAlexW4318773897MaRDI QIDQ2683211

Zev Rosengarten

Publication date: 3 February 2023

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04959

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Other algebraic groups (geometric aspects) (14L40) Group schemes (14L15) Affine algebraic groups, hyperalgebra constructions (14L17) Group varieties (14L10)

Cites Work

• On the Picard group: Torsion and the kernel induced by a faithfully flat map
• Tamagawa numbers and other invariants of pseudoreductive groups over global function fields
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Translation-invariant line bundles on linear algebraic groups
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