Merkur’ev, A. S.; Suslin, A. A. \(K\)-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). Reviewer: L. Vaserstein Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 43 ReviewsCited in 90 Documents MSC: 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 Keywords:cohomology of Severi-Brauer varieties; Gersten spectral sequence; Riemann-Roch formula for higher \(K\)-groups; \(K_2\); Milnor functor; norm residue homomorphism; Brauer group; Hilbert theorem 90 for \(K_2\) Citations:Zbl 0525.18007 PDF BibTeX XML Cite \textit{A. S. Merkur'ev} and \textit{A. A. Suslin}, Math. USSR, Izv. 21, 307--340 (1983; Zbl 0525.18008); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 46, No. 5, 1011--1046 (1982) Full Text: DOI OpenURL