The Heart of Cohomology

• Main Author: Kato, Goro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2006.
• Subjects: Mathematics.; Algebraic geometry.; Category theory (Mathematics).; Homological algebra.; Category Theory, Homological Algebra.; Algebraic Geometry.

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...

Table of Contents:

• CATEGORY
• DERIVED FUNCTORS
• SPECTRAL SEQUENCES
• DERIVED CATEGORIES
• COHOMOLOGICAL ASPECTS OF ALGEBRAIC GEOMETRY AND ALGEBRAIC ANALYSIS.