scientific article; zbMATH DE number 1218265
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Publication:4216759
zbMath0904.20036MaRDI QIDQ4216759
Vladimir Platonov, Vladimir I. Chernousov
Publication date: 3 November 1998
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
local fieldsnumber fieldsglobal function fieldssemisimple algebraic groupsalmost simple algebraic groupsTits indicesirreducible algebraic varietiesrationality problem for group varieties
Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Linear algebraic groups over global fields and their integers (20G30) Rational and birational maps (14E05) Linear algebraic groups over local fields and their integers (20G25)
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Arithmetic of linear algebraic groups over 2-dimensional geometric fields ⋮ Hasse principle for hermitian spaces over semi-global fields ⋮ Local-global principle for projective homogeneous spaces of unitary 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. ⋮ Serre’s Conjecture II: A Survey ⋮ On \(R\)-triviality of \(F_4\) ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss II ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss ⋮ R‐triviality of groups of type F4 arising from the first Tits construction ⋮ On the Tits–Weiss conjecture and the Kneser–Tits conjecture for and (With an Appendix by R. M. Weiss)
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