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Algebraic K-Theory Paperback - 2007 - 2nd Edition
by Vasudevan Srinivas
From the publisher
From the rear cover
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience.
A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application is also given to modules of finite length and finite projective dimension over the local ring of a normal surface singularity. These results lead the reader to some interesting conclusions regarding the Chow group of varieties.
"It is a pleasure to read this mathematically beautiful book..." ---WW.J. Julsbergen, Mathematics Abstracts
"The book does an admirable job of presenting the details of Quillen's work..." ---Mathematical Reviews
Details
- Title Algebraic K-Theory
- Author Vasudevan Srinivas
- Binding Paperback
- Edition number 2nd
- Edition 2
- Pages 341
- Volumes 1
- Language ENG
- Publisher Birkhauser
- Date 2007-11-13
- Features Bibliography, Index, Table of Contents
- ISBN 9780817647360 / 0817647368
- Weight 1.05 lbs (0.48 kg)
- Dimensions 9.1 x 6.1 x 0.7 in (23.11 x 15.49 x 1.78 cm)
- Library of Congress Catalog Number 2007937324
- Dewey Decimal Code 512.55
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