Vladimir Voevodsky
Abstract
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In this paper we prove the conjecture of Bloch and Kato which relates Milnor's K-theory of a field with its Galois cohomology as well as the related comparisons results for motivic cohomology with finite coefficients in the Nisnevich and étale topologies.
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In this paper we prove the conjecture of Bloch and Kato which relates Milnor's K-theory of a field with its Galois cohomology as well as the related comparisons results for motivic cohomology with finite coefficients in the Nisnevich and étale topologies.
Key concepts: Mathematics, Cohomology, Motivic cohomology, Pure mathematics, Algebra over a field, Equivariant cohomology, De Rham cohomology