1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley's continuation principle. The latter will be useda s an instrument to express the homology encoded in a Morse complex associated to a fixed Morse function independent o…
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, b…
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, b…
Etale cohomology theory
by World Scientific (Firm), Fu, Lei
fromNankai tracts in mathematics
1. Descent theory. 1.1. Flat modules. 1.2. Faithfully flat modules. 1.3. Local criteria for flatness. 1.4. Constructible sets. 1.5. Flat morphisms. 1.6. Descent of quasi-coherent sheaves. 1.7. Descent of properties of morphisms. 1.8. Descent of schemes. 1.9. Quasi-finite morphis…