A mean value property in adèle geometry

DOI10.3792/pjaa.71.229zbMath0865.20028OpenAlexW1968168233MaRDI QIDQ1917592

Masanori Morishita

Publication date: 9 September 1996

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.229

zbMATH Keywords

Galois cohomologyfundamental groupsmean value theoremTamagawa numbersconnected linear algebraic groupsadèle spacesleft homogeneous spacesLevi-Chevalley decompositionsuniform and special homogeneous spaces

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Classical groups (algebro-geometric aspects) (14L35) Cohomology theory for linear algebraic groups (20G10) Galois cohomology of linear algebraic groups (11E72)

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Cites Work

• Tamagawa numbers
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Abelianization of the second nonabelian Galois cohomology
• Hardy-Littlewood varieties and semisimple groups
• On the relative theory of Tamagawa numbers
• A mean value theorem in adele geometry
• A mean value theorem in geometry of numbers
• Abelian Galois cohomology of reductive groups
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• A note on the mean value theorem for special homogeneous spaces
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