Arithmetic Duality Theorems for 1-Motives
From MaRDI portal
Publication:4654794
DOI10.1515/crll.2005.2005.578.93zbMath1088.14012arXivmath/0304480OpenAlexW2949693048MaRDI QIDQ4654794
Publication date: 9 March 2005
Published in: Journal fur die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0304480
Galois cohomologyhypercohomology groups\(1\)-motivesCartier dualsduality theorems for \(1\)-motiveslocal fields and global fields
Galois cohomology (12G05) Local ground fields in algebraic geometry (14G20) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Group schemes (14L15)
Related Items
The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces ⋮ Duality theorems for function fields over higher local fields ⋮ The ℓ-parity conjecture over the constant quadratic extension ⋮ On Tate-Shafarevich groups of one-dimensional families of commutative group schemes over number fields ⋮ Abelian class groups of reductive group schemes ⋮ Very strong approximation for certain algebraic varieties ⋮ Local-global principles for homogeneous spaces of reductive groups over global function fields ⋮ Obstructions to weak approximation for reductive groups over \(p\)-adic function fields ⋮ A duality theorem for Tate-Shafarevich groups of curves over algebraically closed fields ⋮ Comparing descent obstruction and Brauer-Manin obstruction for open varieties ⋮ Local-global principles for 1-motives ⋮ Approximation forte pour les variétés avec une action d’un groupe linéaire ⋮ Abelian varieties for function fields of curves over local fields ⋮ Artin-Mazur-Milne duality for fppf cohomology ⋮ Local-global questions for tori over 𝑝-adic function fields ⋮ Grothendieck's pairing on Néron component groups: Galois descent from the semistable case ⋮ Mixed modular symbols and the generalized cuspidal $1$-motive ⋮ Unnamed Item
