Etale Cohomology Theory

Revised Edition

Nonfiction, Science & Nature, Mathematics, Geometry, Algebra
Cover of the book Etale Cohomology Theory by Lei Fu, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Lei Fu ISBN: 9789814675109
Publisher: World Scientific Publishing Company Publication: February 27, 2015
Imprint: WSPC Language: English
Author: Lei Fu
ISBN: 9789814675109
Publisher: World Scientific Publishing Company
Publication: February 27, 2015
Imprint: WSPC
Language: English

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:

  • 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

Readership: Graduate students and researchers in pure mathematics.
Key Features:

  • This is a revised version of an earlier edition, in which some errors and misprints are corrected, and some paragraphs are rewritten for better exposition. While the most complete treatment on etale cohomology is in SGA 1, 4, 4 1/2 and 5, which is about 3000 pages long, the existing textbooks on etale cohomology theory are, however, incomplete. This book, at about 600 pages, gives a relatively complete treatment of etale cohomology theory
  • To achieve an understanding of this book, the reader is only assumed to be familiar with basic algebraic geometry (up to the level of the first three chapters in Algebraic Geometry by R Hartshorne, Springer-Verlag, 1977) and advanced commutative algebra (up to the level of Commutative Algebra by H Matsumura, Benjamin, New York, 1970)
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

Readership: Graduate students and researchers in pure mathematics.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Photons in Fock Space and Beyond by Lei Fu
Cover of the book Ensemble Learning by Lei Fu
Cover of the book Harmful Natural Chemicals and Radiation in the Environment by Lei Fu
Cover of the book Robot Hands and Multi-Fingered Haptic Interfaces by Lei Fu
Cover of the book Electronic Trading and Blockchain by Lei Fu
Cover of the book Unlocking Consciousness by Lei Fu
Cover of the book The Dark Secrets of the Terascale by Lei Fu
Cover of the book Adolescent Medicine Today by Lei Fu
Cover of the book Analytic Theory of Subnormal Operators by Lei Fu
Cover of the book Swept-Source Optical Coherence Tomography by Lei Fu
Cover of the book 2014 Annual Competitiveness Analysis and Development Strategies for Indonesian Provinces by Lei Fu
Cover of the book Parameterization of Atmospheric Convection by Lei Fu
Cover of the book The Value Sphere by Lei Fu
Cover of the book Allergic Diseases in Children by Lei Fu
Cover of the book Nonlinear Waves in Bounded Media by Lei Fu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy