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Introduction to Étale Cohomology: Universitext

Autor Günter Tamme Traducere de M. Kolster
en Limba Engleză Paperback – 28 sep 1994
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 introduction into the world of Abelian Categories, Derived Functors, Grothendieck Topologies, Sheaves, General Étale Cohomology, and Étale Cohomology of Curves.
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Specificații

ISBN-13: 9783540571162
ISBN-10: 3540571167
Pagini: 200
Ilustrații: IX, 186 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of the original 1st ed. 1994
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Universitext

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Graduate

Cuprins

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.