Algebraic K-Theory (Modern Birkhäuser Classics)

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Last edited by MARC Bot
September 28, 2024 | History

Algebraic K-Theory (Modern Birkhäuser Classics)

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

Publish Date
Publisher
Birkhäuser Boston
Pages
364

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Edition Availability
Cover of: Algebraic K-Theory (Modern Birkhäuser Classics)
Algebraic K-Theory (Modern Birkhäuser Classics)
Nov 13, 2007, Birkhäuser Boston

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Book Details


Classifications

Library of Congress
QA612.33

ID Numbers

Open Library
OL26829994M
Internet Archive
algebraicktheory00srin
ISBN 10
0817647368
ISBN 13
9780817647360

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September 28, 2024 Edited by MARC Bot import existing book
February 25, 2022 Edited by ImportBot import existing book
April 3, 2019 Created by ImportBot import new book