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Chern classes in algebraic K-theory. (English) Zbl 0541.18008
Translation from Tr. Mosk. Mat. O.-va 45, 237-264 (Russian) (1982; Zbl 0515.18008).

MSC:
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
14C35 Applications of methods of algebraic \(K\)-theory in algebraic geometry
57R20 Characteristic classes and numbers in differential topology
11R37 Class field theory
14F20 Étale and other Grothendieck topologies and (co)homologies
14F40 de Rham cohomology and algebraic geometry
11S70 \(K\)-theory of local fields
14L30 Group actions on varieties or schemes (quotients)
11R70 \(K\)-theory of global fields
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