Etale cohomology theory - v. 13

Etale cohomology is an important branch in arithmetic geometry.

This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology.

The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.Sample Chapter(s)Chapter 1: Descent Theory (771 KB)Contents: Descent TheoryEtale Morphisms and Smooth MorphismsEtale Fundamental GroupsGroup Cohomology and Galois CohomologyEtale CohomologyDerived Categories and Derived FunctorsBase Change TheoremsDualityFiniteness Theoremsℓ-Adic CohomologyReadership: Graduate students and researchers in pure mathematics.