Examples of non-rational varieties of adjoint groups
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Publication:1364316
DOI10.1006/jabr.1996.7012zbMath0911.14026OpenAlexW2075708687MaRDI QIDQ1364316
Publication date: 29 April 1999
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/62ac921bf6116430f1bbf4836141d47ce17b2686
Quadratic forms over general fields (11E04) Group actions on varieties or schemes (quotients) (14L30) Rational and unirational varieties (14M20) Classical groups (algebro-geometric aspects) (14L35)
Related Items (8)
Adjoint groups over ℚ_{𝕡}(𝕏) and R-equivalence - revisited ⋮ Finiteness of \(R\)-equivalence groups of some adjoint classical groups of type \(^2D_3\). ⋮ More examples of non-rational adjoint groups ⋮ The Kneser-Tits conjecture for groups with Tits-index \textsf{E}\(_{8,2}^{66}\) over an arbitrary field. ⋮ Rationality problem for generic tori in simple groups. ⋮ On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3 ⋮ On the Brauer group complex for a multiquadratic field extension ⋮ Adjoint groups over \(\mathbb Q_p(X)\) and R-equivalence.
Cites Work
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- Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)
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