Local–global principle for reduced norms over function fields of -adic curves

DOI10.1112/S0010437X17007618zbMath1469.11061arXiv1605.04728OpenAlexW3098003296MaRDI QIDQ4602851

Raman Parimala, Raman Preeti, Venapally Suresh

Publication date: 7 February 2018

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04728

zbMATH Keywords

Galois cohomologydivision algebrasreduced normsfunction field of \(p\)-adic curves

Mathematics Subject Classification ID

Galois cohomology (11S25) Curves over finite and local fields (11G20) Finite-dimensional division rings (16K20) Galois cohomology of linear algebraic groups (11E72) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (11)

Galois cohomology of function fields of curves over non-archimedean local fields ⋮ Local-global principle for classical groups over function fields of \(p\)-adic curves ⋮ Reduced Whitehead groups of prime exponent algebras over \(p\)-adic curves ⋮ On some local-global principles for linear algebraic groups over infinite algebraic extensions of global fields ⋮ Third Galois cohomology group of function fields of curves over number fields ⋮ Some aspects of rational points and rational curves ⋮ Reduced norms of division algebras over complete discrete valuation fields of local-global type ⋮ On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3 ⋮ Local-global principles for norm one tori over semi-global fields ⋮ Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields ⋮ Local-global principles for constant reductive groups over semi-global fields

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