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The geometry of linear algebraic groups. (English. Russian original) Zbl 0309.14040

Proc. Steklov Inst. Math. 132, 173-183 (1973); translation from Trudy Mat. Inst. Steklov 132 (Trudy mezhdunarod. Konf. Teor. Chisel, Moskva 1971), 151-161 (1973).
This is an exposition of the results of the author which have been published earlier in [Math. USSR, Izv. 4(1970), 1–17 (1971); translation from Izv. Akad. Nauk SSR, Ser. Mat. 34, 3–19 (1970; Zbl 0254.14016)], [Math. USSR, Izv. 4(1970), 371–380 (1971); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 34, 366–375 (1970; Zbl 0216.32402)], and [Math. USSR, Izv. 5(1971), 1049–1056 (1972); ; translation from Izv. Akad. Nauk SSSR, Ser. Mat. 35, 1037–1046 (1971; Zbl 0219.14012)].

MSC:

14L30 Group actions on varieties or schemes (quotients)
20G15 Linear algebraic groups over arbitrary fields
14G05 Rational points
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