Günter Tamme

Introduction to Étale Cohomology (eBook, PDF)

Übersetzer: Kolster, M.

• Format: PDF

Produktbeschreibung

Étale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory. It is a large area with a large number of applications. The book gives a quick and easy introduction into Étale Cohomology. It is ample in its arguments but wisely restricted in the choice of material.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 186
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642784217
• Artikelnr.: 53146749

Autorenporträt

Étale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory. It is a large area with a large number of applications. The book gives a quick and easy introduction into Étale Cohomology. It is ample in its arguments but wisely restricted in the choice of material.

Inhaltsangabe

0. Preliminaries.- 1. Abelian Categories.- 2. Homological Algebra in Abelian Categories.- 3. Inductive Limits.- I. Topologies and Sheaves.- 1. Topologies.- 2. Abelian Presheaves on Topologies.- 3. Abelian,Sheaves on Topologies.- II. Étale Cohomology.- 1. The Étale Site of a Scheme.- 2. The Case X= spec(k).- 3. Examples of Étale Sheaves.- 4. The Theories of Artin-Schreier and of Kummer.- 5. Stalks of Étale Sheaves.- 6. Strict Localizations.- 7. The Artin Spectral Sequence.- 8. The Decomposition Theorem. Relative Cohomology.- 9. Torsion Sheaves, Locally Constant Sheaves, Constructible Sheaves.- 10. Étale Cohomology of Curves.- 11. General Theorems in Étale Cohomology Theory.