The Heart of Cohomology

Authors: Kato, Goro

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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)


Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4020-5036-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $135.00
price for USA
  • ISBN 978-1-4020-5035-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $135.00
price for USA
  • ISBN 978-90-481-7261-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Heart of Cohomology
Authors
Copyright
2006
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-5036-7
DOI
10.1007/1-4020-5036-4
Hardcover ISBN
978-1-4020-5035-0
Softcover ISBN
978-90-481-7261-0
Edition Number
1
Number of Pages
XIII, 191
Topics