Overview
- Appendices on topology and algebraic geometry provide requisite background material for the subject
- Provides many examples to solidify understanding in the reader
- Discusses fundamentals and new research extensions
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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. This new 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 applications 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.
Authors and Affiliations
Bibliographic Information
Book Title: Algebraic K-Theory
Authors: V. Srinivas
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-0-8176-4739-1
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1996
Softcover ISBN: 978-0-8176-4736-0Published: 13 November 2007
eBook ISBN: 978-0-8176-4739-1Published: 21 May 2009
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 2
Number of Pages: XVII, 341
Additional Information: Originally published as volume 90 in the series: Progress in Mathematics
Topics: K-Theory, Algebraic Geometry, Algebraic Topology, Topology