On motivic cohomology with Z/l -coefficients

  title={On motivic cohomology with Z/l -coefficients},
  author={Vladimir Voevodsky},
  journal={Annals of Mathematics},
  • V. Voevodsky
  • Published 28 May 2008
  • Mathematics
  • Annals of Mathematics
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 etale topologies. 
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