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The Norm Residue Theorem in Motivic Cohomology - Princeton Scholarship Online
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The Norm Residue Theorem in Motivic Cohomology

Christian Haesemeyer and Charles A. Weibel

Abstract

This book presents the complete proof of the Bloch–Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups. Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The book draws on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky's proof and introduces the key figures behind its development. It pr ... More

Keywords: Bloch–Kato conjecture, algebraic geometry, étale cohomology, motivic cohomology, Chow groups, Vladimir Voevodsky, Markus Rost

Bibliographic Information

Print publication date: 2019 Print ISBN-13: 9780691191041
Published to Princeton Scholarship Online: January 2020 DOI:10.23943/princeton/9780691191041.001.0001

Authors

Affiliations are at time of print publication.

Christian Haesemeyer, author
University of Melbourne

Charles A. Weibel, author
Rutgers University