\(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism. (English. Russian original) Zbl 0525.18008

Math. USSR, Izv. 21, 307-340 (1983); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 46, No. 5, 1011-1046 (1982).


19C30 \(K_2\) and the Brauer group
19D45 Higher symbols, Milnor \(K\)-theory
14C35 Applications of methods of algebraic \(K\)-theory in algebraic geometry
12G05 Galois cohomology
14C15 (Equivariant) Chow groups and rings; motives
11R70 \(K\)-theory of global fields
11R34 Galois cohomology
11S70 \(K\)-theory of local fields
14F22 Brauer groups of schemes
11S25 Galois cohomology


Zbl 0525.18007
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