Overview
- Informal and conversational
- Elemental and elementary
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Table of contents (5 chapters)
Keywords
About this book
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.
Reviews
From the reviews:
"This book teems with the author’s joy in his subject. It is accordingly an idiosyncratic work, with a variety of human elements poking through the mathematics at nearly every corner. … Kato’s The Heart of Cohomology is a pleasure to read and it’ll be a pleasure to come back to it again and again." (Michael Berg, MathDL, December, 2007)
“This monograph is an expanded version of the lecture notes for a short course titled ‘Introduction to Derived Categories’ given by the author at the University of Antwerp in 2004. … It can be recommended to anyone interested in a quick introduction to abstract cohomology theory.” (Ch. Baxa, Monatshefte für Mathematik, Vol. 154 (1), May, 2008)
Authors and Affiliations
Bibliographic Information
Book Title: The Heart of Cohomology
Authors: Goro Kato
DOI: https://doi.org/10.1007/1-4020-5036-4
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2006
Hardcover ISBN: 978-1-4020-5035-0Published: 04 October 2006
Softcover ISBN: 978-90-481-7261-0Published: 17 November 2010
eBook ISBN: 978-1-4020-5036-7Published: 08 November 2006
Edition Number: 1
Number of Pages: XIII, 191
Topics: Category Theory, Homological Algebra, Algebraic Geometry