Author	Tamme, Gรผter. author
Title	Introduction to รtale Cohomology [electronic resource] / by Gรผter Tamme
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
Edition	1
Connect to	http://dx.doi.org/10.1007/978-3-642-78421-7
Descript	IX, 186 p. online resource

รtale 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 รtale Cohomology, and รtale Cohomology of Curves

0. Preliminaries -- ยง1. Abelian Categories -- ยง2. Homological Algebra in Abelian Categories -- ยง3. Inductive Limits -- I. Topologies and Sheaves -- ยง1. Topologies -- ยง2. Abelian Presheaves on Topologies -- ยง3. Abelian,Sheaves on Topologies -- II. รtale Cohomology -- ยง1. The รtale Site of a Scheme -- ยง2. The Case X= spec(k) -- ยง3. Examples of รtale Sheaves -- ยง4. The Theories of Artin-Schreier and of Kummer -- ยง5. Stalks of รtale Sheaves -- ยง6. Strict Localizations -- ยง7. The Artin Spectral Sequence -- ยง8. The Decomposition Theorem. Relative Cohomology -- ยง9. Torsion Sheaves, Locally Constant Sheaves, Constructible Sheaves -- ยง10. รtale Cohomology of Curves -- ยง11. General Theorems in รtale Cohomology Theory

1. Mathematics
2. Algebraic geometry
3. K-theory
4. Number theory
5. Algebraic topology
6. Mathematics
7. Algebraic Geometry
8. Algebraic Topology
9. K-Theory
10. Number Theory