The Heart of Cohomology

Author:   Goro Kato
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2006
ISBN:  

9789048172610


Pages:   191
Publication Date:   17 November 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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The Heart of Cohomology


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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
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2006
Weight:   0.345kg
ISBN:  

9789048172610


ISBN 10:   9048172616
Pages:   191
Publication Date:   17 November 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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

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)


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)


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