MARC 主機 00000cam 2200517Mi 4500
001 853264222
003 OCoLC
005 20140708050358.0
006 m o d
007 cr mnu---uuaaa
008 100715s1994 mau o 000 0 eng
020 9780817647391 (electronic bk.)
020 0817647392 (electronic bk.)
035 (OCoLC)853264222
040 AU@|beng|epn|cAU@|dOCLCO|dGW5XE|dOCLCQ|dAS|dMATH
050 4 QA612.33
082 04 512.66|223
100 1 Srinivas, V
245 10 Algebraic K-Theory|h[electronic resource] /|cby V.
Srinivas
250 Second edition
260 Boston, MA :|bBirkhäuser Boston,|c1994
300 1 online resource (volumes)
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
505 0 Preface to the First Edition -- Preface to the Second
Edition -- "Classical" K-Theory -- The Plus Construction -
- The Classifying Space of a Small Category -- Exact
Categories and Quillen's Q-Construction -- The K-Theory of
Rings and Schemes -- Proofs of the Theorems of Chapter 4 -
- Comparison of the Plus and Q-Constructions -- The
Merkurjev--Suslin Theorem -- Localization for Singular
Varieties -- Appendix A. Results from Topology -- Appendix
B. Results from Category Theory -- Appendix C. Exact
Couples -- Appendix D. Results from Algebraic Geometry --
Bibliography
520 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
650 0 Mathematics
650 0 Geometry, Algebraic
650 0 K-theory
650 0 Topology
650 0 Algebraic topology
655 4 Electronic books
776 08 |iPrint version:|z9780817647360
856 40 |3SpringerLink|uhttp://dx.doi.org/10.1007/978-0-8176-4739-
1