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Introduction to Étale Cohomology
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Introduction to Étale Cohomology ([EBook]) / by Güter Tamme.
Author
Tamme, Günter , 1937-
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1994.
Physical Details
IX, 186 pages : online resource.
Series
Universitext
0172-5939
ISBN
9783642784217
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-78421-7
Links to Related Works
Subject References:
Algebraic Geometry
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Algebraic Topology
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K-Theory
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Mathematics
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Number Theory
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Authors:
Tamme, Günter 1937-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
516.35
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