On motivic cohomology with $\mathbf{Z}/l$-coefficients

Abstract

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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Authors

Vladimir Voevodsky

School of Mathematics
Institute for Advanced Study
Einstein Drive
Princeton, NJ 08540