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

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Haesemeyer, Christian (Autor), Weibel, Charles A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2019]
Colección:Annals of Mathematics Studies ; 375
Temas:
Homology theory.
MATHEMATICS / Geometry / Algebraic.
5P.
Abelian group.
Addition.
Additive category.
Adjoint functors.
Alexander Grothendieck.
Algebraic closure.
Algebraic cobordism.
Algebraic cycle.
Algebraic extension.
Algebraic geometry.
Algebraic topology.
Andrei Suslin.
Axiom.
Characteristic class.
Classifying space.
Closed set.
Codimension.
Cofibration.
Cohomology operation.
Cohomology.
Conjecture.
Corollary.
Diagram (category theory).
Direct limit.
Exact sequence.
Factorization.
Fibration.
Functor.
Galois cohomology.
Galois extension.
Group object.
Homology (mathematics).
Homotopy category.
Homotopy.
Hypersurface.
Inverse function.
Mathematical induction.
Mathematics.
Milnor K-theory.
Model category.
Module (mathematics).
Monoid.
Monomorphism.
Morphism.
Motivic cohomology.
Natural number.
Normal bundle.
Open set.
Presheaf (category theory).
Pushout (category theory).
Quantity.
Quillen adjunction.
Rational point.
Regular representation.
Remainder.
Retract.
Separable extension.
Sheaf (mathematics).
Smooth scheme.
Special case.
Subgroup.
Summation.
Tangent space.
Theorem.
Trivial representation.
Vladimir Voevodsky.
Weak equivalence (homotopy theory).
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • 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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