A cohomological Tamagawa number formula
From MaRDI portal
Publication:3016238
DOI10.1215/00277630-1260441zbMath1230.11084arXiv0908.0996OpenAlexW1495308358MaRDI QIDQ3016238
Guido Kings, Annette Huber-Klawitter
Publication date: 14 July 2011
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.0996
Tamagawa numbersTamagawa measures\(p\)-adic periods for reductive groupsTamagawa number conjecture for tori
Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Zeta functions and (L)-functions of number fields (11R42) Continuous cohomology of Lie groups (22E41)
Related Items
Poincaré duality for \(p\)-adic Lie groups ⋮ DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Poincaré duality for \(p\)-adic Lie groups
- A note on height pairings, Tamagawa numbers, and the Birch and Swinnerton-Dyer conjecture
- 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)
- On the motive of a reductive group
- Bloch-Kato conjecture and Main Conjecture of Iwasawa theory for Dirichlet characters
- \(p\)-adic analytic groups
- On the Tamagawa number of algebraic tori
- A p-adic analogue of the Borel regulator and the Bloch–Kato exponential map
- Some complements to the Lazard isomorphism
- Néron Models
- Arithmetically defined dense subgroups of Morava stabilizer groups