Etale cohomology theory
Homology theory Mathematics sähkökirjat
World Scientific
2011
EISBN 9789814307734
Descent theory.
Etale morphisms and smooth morphisms.
Etale fundamental groups.
Group cohomology and Galois cohomology.
Etale cohomology.
Derived categories and derived functors.
Base change theorems.
Duality.
Finiteness theorems.
l-adic cohomology.
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.
Etale morphisms and smooth morphisms.
Etale fundamental groups.
Group cohomology and Galois cohomology.
Etale cohomology.
Derived categories and derived functors.
Base change theorems.
Duality.
Finiteness theorems.
l-adic cohomology.
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.
