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The higher-dimensional Contou-Carrère symbol and commutative group schemes. (English. Russian original) Zbl 07244026
Russ. Math. Surv. 75, No. 3, 572-574 (2020); translation from Usp. Mat. Nauk 75, No. 3, 185-186 (2020).
MSC:
19D45 Higher symbols, Milnor \(K\)-theory
19F15 Symbols and arithmetic (\(K\)-theoretic aspects)
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References:
[1] С. О. Горчинский, Д. В. Осипов 2015 Матем. сб.206 9 21-98
[2] English transl. S. O. Gorchinskiy and D. V. Osipov 2015 Sb. Math.206 9 1191-1259 · Zbl 1337.19004
[3] С. О. Горчинский, Д. В. Осипов 2016 Функц. анализ и его прил.50 4 26-42
[4] English transl. S. O. Gorchinskiy and D. V. Osipov 2016 Funct. Anal. Appl.50 4 268-280 · Zbl 1360.19005
[5] P. Deligne 1991 Inst. Hautes Études Sci. Publ. Math.73 147-181 · Zbl 0749.14011
[6] C. Contou-Carrère 1994 C. R. Acad. Sci. Paris Sér. I Math.318 8 743-746
[7] D. Osipov and X. Zhu 2016 J. Algebraic Geom.25 4 703-774 · Zbl 1346.19003
[8] С. О. Горчинский, Д. В. Осипов 2015 Современные проблемы математики, механики и математической физики, Сборник статей Тр. МИАН 290 МАИК “Наука/Интерпериодика”, М. 34-42
[9] English transl. S. O. Gorchinskiy and D. V. Osipov 2015 Proc. Steklov Inst. Math.290 1 26-34 · Zbl 1334.19003
[10] С. О. Горчинский, Д. Н. Тюрин 2018 Изв. РАН. Сер. матем.82 5 23-60
[11] English transl. S. O. Gorchinskiy and D. N. Tyurin 2018 Izv. Math.82 5 880-913 · Zbl 1406.19001
[12] J.-P. Serre 1959 Groupes algébriques et corps de classes Publ. Inst. Math. Univ. Nancago VII Hermann, Paris 202 pp.
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