On motivic cohomology with Z/l coefficients

2008/05/28 by Vladimir Voevodsky, Voevodsky, Vladimir · 12 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0805.4430

Abstract

In this paper we give a proof of the Bloch-Kato conjecture relating motivic cohomology and etale cohomology. It is a corrected version of the paper with the same title which posted earlier.

Citations

• Motives over simplicial schemes

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• A descent view on Mitchell's theorem
• Beilinson--Lichtenbaum phenomenon for motivic cohomology
• Cofinality of Galois Cohomology within Purely Quadratic Graded Algebras
• The Redshift Bound from Quillen-Lichtenbaum
• A Coates-Sinnott-type Theorem for First Derivatives of Artin L-Functions

Related

• Weil-etale motivic cohomology
• Arakelov motivic cohomology II
• Karoubi's Construction for Motivic Cohomology Operations
• Syntomic cohomology and p-adic motivic cohomology
• Unstable operations in étale and motivic cohomology