Ebook: The Heart of Cohomology
Author: Goro Kato (auth.)
- Tags: Category Theory Homological Algebra, Algebraic Geometry
- Year: 2006
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided.
If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided.
If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided.
Content:
Front Matter....Pages I-XIII
CATEGORY....Pages 1-37
DERIVED FUNCTORS....Pages 39-70
SPECTRAL SEQUENCES....Pages 71-116
DERIVED CATEGORIES....Pages 117-147
COHOMOLOGICAL ASPECTS OF ALGEBRAIC GEOMETRY AND ALGEBRAIC ANALYSIS....Pages 149-186
Back Matter....Pages 187-195
If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family are provided.
Content:
Front Matter....Pages I-XIII
CATEGORY....Pages 1-37
DERIVED FUNCTORS....Pages 39-70
SPECTRAL SEQUENCES....Pages 71-116
DERIVED CATEGORIES....Pages 117-147
COHOMOLOGICAL ASPECTS OF ALGEBRAIC GEOMETRY AND ALGEBRAIC ANALYSIS....Pages 149-186
Back Matter....Pages 187-195
....