tale 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
tale Cohomology, and
tale Cohomology of Curves.
By:
Gunter Tamme
Translated by:
M. Kolster
Imprint: St Martins/Tor
Country of Publication: Germany
Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 10mm
Weight: 454g
ISBN: 9783540571162
ISBN 10: 3540571167
Series: Universitext
Pages: 195
Publication Date: 01 February 2007
Audience:
College/higher education
,
Professional and scholarly
,
Further / Higher Education
,
Undergraduate
Format: Paperback
Publisher's Status: Active
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.
Reviews for Introduction to Étale Cohomology
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