Overview

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.

Full Product Details

Author:   Goro Kato
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2006 ed.
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   1.050kg
ISBN:  

9781402050350

ISBN 10:   1402050356
Pages:   191
Publication Date:   04 October 2006
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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 fur Mathematik, Vol. 154 (1), May, 2008)

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 fur Mathematik, Vol. 154 (1), May, 2008)

From the reviews: <p> This book teems with the authora (TM)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. a ] Katoa (TM)s The Heart of Cohomology is a pleasure to read and ita (TM)ll be a pleasure to come back to it again and again. (Michael Berg, MathDL, December, 2007)

<p>From the reviews: <p><p> 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)

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