Voevodsky reformulated the Milnor-Bloch-Kato conjecture as a change-of-topology morphism from the Zariski to the étale topology of a field with torsion coefficients being an isomorphism. The Beilinson-Lichtenbaum conjecture is more generally about such an isomorphism for varieties and integer coefficients. How does the former imply the latter (sketch/reference)?
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Milnor-Bloch-Kato conjecture implies the Beilinson-Lichtenbaum conjectureVoevodsky reformulated the Milnor-Bloch-Kato conjecture as a change-of-topology morphism from the Zariski to the étale topology of a field being an isomorphism. The Beilinson-Lichtenbaum conjecture is more generally about such an isomorphism for varieties. How does the former imply the latter (sketch/reference)?
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