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On 2-torsion in motivic cohomology

Vladimir Voevodsky
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Abstract

In this paper we prove the 2-local part of the Beilinson-Lichtenbaum conjectures on tosion in motivic cohomology. In particular we prove the Milnor conjecture relating Milnor's K-theory and the Galois cohomology with Z/2-coefficients. This paper is a new version of the previously distributed preprint "The Milnor Conjecture".

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Vladimir Voevodsky. 2001-07-15. On 2-torsion in motivic cohomology. https://arxiv.org/abs/math/0107110

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