Introduction to Étale Cohomology /

Étale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory. It has, in the last decades, brought fundamental new insights in arithmetic and algebraic geometric problems with many applications and many important results. The book gives a short and easy intro...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Tamme, Günter
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1994.
Edition:1.
Series:Universitext.
Subjects:
Mathematics.
Geometry, Algebraic.
K-theory.
Number theory.
Mathematics
Mathématiques.
Géométrie algébrique.
K-théorie.
Théorie des nombres.
Geometry, Algebraic
K-theory
Number theory
Online Access:Texto completo
Table of Contents:
  • 0. Preliminaries
  • ʹ1. Abelian Categories
  • ʹ2. Homological Algebra in Abelian Categories
  • ʹ3. Inductive Limits
  • I. Topologies and Sheaves
  • ʹ1. Topologies
  • ʹ2. Abelian Presheaves on Topologies
  • ʹ3. Abelian, Sheaves on Topologies
  • II. Étale Cohomology
  • ʹ1. The Étale Site of a Scheme
  • ʹ2. The Case X= spec(k)
  • ʹ3. Examples of Étale Sheaves
  • ʹ4. The Theories of Artin-Schreier and of Kummer
  • ʹ5. Stalks of Étale Sheaves
  • ʹ6. Strict Localizations
  • ʹ7. The Artin Spectral Sequence
  • ʹ8. The Decomposition Theorem. Relative Cohomology
  • ʹ9. Torsion Sheaves, Locally Constant Sheaves, Constructible Sheaves
  • ʹ10. Étale Cohomology of Curves
  • ʹ11. General Theorems in Étale Cohomology Theory.

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