ETALE COHOMOLOGY THEORY (V13)

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Focusing on etale cohomology within arithmetic geometry, this book presents essential topics from SGA 1, SGA 4, SGA 4 1/2, and SGA 5. Key subjects include decent theory, etale fundamental groups, Galois cohomology, derived categories, and duality, along with base change theorems and l-adic cohomology. Readers should have a foundational understanding of algebraic geometry and advanced commutative algebra to fully engage with the material.