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Etale cohomology theory / [edited by] Lei Fu.
- Format:
- Book
- Author/Creator:
- Fu, Lei.
- Series:
- Nankai tracts in mathematics ; v. 13.
- Nankai tracts in mathematics ; v. 13
- Language:
- English
- Subjects (All):
- Homology theory.
- Physical Description:
- 1 online resource (622 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Hackensack, N.J. : World Scientific, c2011.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Preface; Contents; 1. Descent Theory; 2. Etale Morphisms and Smooth Morphisms; 3. Etale Fundamental Groups; 4. Group Cohomology and Galois Cohomology; 5. Etale Cohomology; 6. Derived Categories and Derived Functors; 7. Base Change Theorems; 8. Duality; 9. Finiteness Theorems; 10. `-adic Cohomology; Bibliography; Index
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 9786613148414
- 9781283148412
- 1283148412
- 9789814307734
- 9814307734
- OCLC:
- 733048130
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