Blick ins Buch

The Heart of Cohomology

Goro Kato (Autor)

Buch | Hardcover

191 Seiten

2006
Springer-Verlag New York Inc.
978-1-4020-5035-0 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Artikel merken

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	4.10.2006
Reihe/Serie	Springer Monographs in Mathematics
Zusatzinfo	XIII, 191 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Kohomologie
ISBN-10	1-4020-5035-6 / 1402050356
ISBN-13	978-1-4020-5035-0 / 9781402050350
Zustand	Neuware