Etale Cohomology Theory: Revised Edition

Etale Cohomology Theory: Revised Edition
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Etale 上同调理论:修订版

DOI:
10.1142/9569
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发表时间:
2015
期刊:
arXiv: Number Theory
影响因子:
--
通讯作者:
Lei Fu
Lei Fu
中科院分区:
--
文献类型:
--
作者:
Lei Fu

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Etal上同调是算术几何中的一个重要分支。这本书涵盖了SGA 1、SGA 4、SGA 4 1/2和SGA 5中关于上同调理论的主要材料,其中包括体面理论、等基本群、Galois上同调、等上同调、派生范畴、基变定理、对偶和L上同调。阅读本书的先决条件是基本的代数几何和高级交换代数。
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.