The Norm Residue Theorem in Motivic Cohomology : : (AMS-200) /

The Norm Residue Theorem in Motivic Cohomology : : (AMS-200) / / Charles A. Weibel, Christian Haesemeyer.

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 Cho...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English
VerfasserIn:
Haesemeyer, Christian,
Weibel, Charles A.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2019]
©2019
Year of Publication:2019
Language:English
Series:Annals of Mathematics Studies ; 375
Online Access:
Physical Description:1 online resource (320 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Acknowledgments
  • Part I
  • 1. An Overview of the Proof
  • 2. Relation to Beilinson-Lichtenbaum
  • 3. Hilbert 90 for KMn
  • 4. Rost Motives and H90
  • 5. Existence of Rost Motives
  • 6. Motives over S
  • 7. The Motivic Group HBM−1,−1
  • Part II
  • 8. Degree Formulas
  • 9. Rost's Chain Lemma
  • 10. Existence of Norm Varieties
  • 11. Existence of Rost Varieties
  • Part III
  • 12. Model Structures for the A1-homotopy Category
  • 13. Cohomology Operations
  • 14. Symmetric Powers of Motives
  • 15. Motivic Classifying Spaces
  • Glossary
  • Bibliography
  • Index

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