Modern Birkhäuser Classics

Algebraic K-Theory

Authors: Srinivas, Vasudevan

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  • Includes appendices on topology and algebraic geometry that provide requisite background material for the subject
  • Provides many examples to solidify understanding in the reader
  • Discusses fundamentals and new research extensions
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  • ISBN 978-0-8176-4739-1
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About this Textbook

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

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-0-8176-4739-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover $74.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic K-Theory
Authors
Series Title
Modern Birkhäuser Classics
Copyright
1996
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-4739-1
DOI
10.1007/978-0-8176-4739-1
Softcover ISBN
978-0-8176-4736-0
Series ISSN
2197-1803
Edition Number
2
Number of Pages
XVII, 341
Additional Information
Originally published as volume 90 in the series: Progress in Mathematics
Topics