Duality theorems for function fields over higher local fields

DOI10.1007/s00209-016-1672-3zbMath1407.11130OpenAlexW2357958858MaRDI QIDQ330011

Diego Izquierdo

Publication date: 24 October 2016

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

Full work available at URL: https://doi.org/10.1007/s00209-016-1672-3

zbMATH Keywords

finite groups schemessmooth projective curveTate-Shafarevich groups

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Galois cohomology (11R34) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (11)

On Kato and Kuzumaki's properties for the Milnor \(K_2\) of function fields of \(p\)-adic curves ⋮ Weak approximation for homogeneous spaces over some two‐dimensional geometric global fields ⋮ An \({\mathcal{O}} \)-acyclic variety of even index. With an Appendix by Olivier Wittenberg ⋮ Arithmetics of homogeneous spaces over p$p$‐adic function fields ⋮ Obstructions to weak approximation for reductive groups over \(p\)-adic function fields ⋮ Strong approximation for semi-simple homogenenous groups over the field of functions of a complex algebraic curve ⋮ Abelian varieties for function fields of curves over local fields ⋮ Duality theorem for groups of multiplicative type over some function fields ⋮ Local-global principle for function fields over higher local fields. I ⋮ The adelic space of a torus over a function field ⋮ Unnamed Item

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