The Heart of Cohomology

Goro Kato (Autor)

Buch | Softcover

191 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2006
Springer (Verlag)
978-90-481-7261-0 (ISBN)

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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.

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

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)

Erscheint lt. Verlag	17.11.2010
Zusatzinfo	XIII, 191 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	90-481-7261-6 / 9048172616
ISBN-13	978-90-481-7261-0 / 9789048172610
Zustand	Neuware