Adjoint groups over \(\mathbb Q_p(X)\) and R-equivalence.
DOI10.1016/j.jpaa.2015.02.016zbMath1342.20050arXiv1512.02480OpenAlexW2086649613MaRDI QIDQ2349951
Publication date: 18 June 2015
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.02480
algebraic groupsalgebras with involutionHermitian formsadjoint groupsRost invariantR-equivalencefunction fields of curvesnondyadic local fields
Quadratic forms over general fields (11E04) Rational points (14G05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20) Classical groups (11E57) Linear algebraic groups over local fields and their integers (20G25) Galois cohomology of linear algebraic groups (11E72)
Related Items (2)
Cites Work
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- The \(u\)-invariant of the function fields of \(p\)-adic curves
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- Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)
- Classification theorems for Hermitian forms, the Rost kernel and Hasse principle over fields with \(\mathrm{cd}_2(k)\leq 3\)
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