Algebraic K-Theory Contributor(s): Srinivas, Vasudevan (Author) |
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ISBN: 0817647368 ISBN-13: 9780817647360 Publisher: Birkhauser OUR PRICE: $75.99 Product Type: Paperback Published: November 2007 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Geometry - Algebraic - Mathematics | Topology - General |
Dewey: 512.55 |
LCCN: 2007937324 |
Series: Modern Birkhauser Classics |
Physical Information: 0.7" H x 6.1" W x 9.1" (1.05 lbs) 341 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |