Cohomology of tori over \(p\)-adic curves

DOI10.1007/s00208-003-0416-yzbMath1050.14016OpenAlexW1994785852MaRDI QIDQ1396492

Joost van Hamel, Claus Scheiderer

Publication date: 2 July 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0416-y

zbMATH Keywords

dualitytorip-adic fieldsLichtenbaum-Tate pairingPoincaré duality pairingTate-Nakayama pairing

Mathematics Subject Classification ID

Galois cohomology (11S25) Local ground fields in algebraic geometry (14G20) Brauer groups of schemes (14F22) Group schemes (14L15)

Related Items (7)

Cyclic length in the Brauer group of a p-adic elliptic curve ⋮ Duality theorems for function fields over higher local fields ⋮ On Tate-Shafarevich groups of one-dimensional families of commutative group schemes over number fields ⋮ Abelian varieties for function fields of curves over local fields ⋮ Local-global questions for tori over 𝑝-adic function fields ⋮ Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings ⋮ The Brauer–Manin pairing, class field theory, and motivic homology

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