ALGEBRAIC K-THEORY SECOND EDITION REPRINT OF THE 1995 SECOND EDITION 🔍
V. Srinivas (auth.) Birkhäuser Basel, Progress in Mathematics, Modern Birkhauser Classics, 2, 1994
英语 [en] · PDF · 4.4MB · 1994 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
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__**
备用文件名
lgrsnf/A:\compressed\10.1007%2F978-0-8176-4739-1.pdf
备用文件名
nexusstc/Algebraic K-Theory/22cbe27a69220046f90dddad072c3dcb.pdf
备用文件名
scihub/10.1007/978-0-8176-4739-1.pdf
备用文件名
zlib/Mathematics/V. Srinivas (auth.)/Algebraic K-Theory_2129205.pdf
备选标题
Algebraic K-theory (modern Birkhäuser Classics)
备选作者
Vasudevan Srinivas
备用出版商
Birkhäuser Boston : Imprint : Birkhäuser
备用出版商
Birkhaüser
备用出版商
BIRKHAUSER
备用出版商
Springer
备用版本
Modern Birkhäuser Classics, Reprint of the 1995 Second edition, Boston, cop. 2008
备用版本
Modern Birkhäuser classics, 2nd ed., repr. of the 1995 ed, Boston, ©2008
备用版本
Springer Nature (Textbooks & Major Reference Works), Boston, MA, 2009
备用版本
Modern Birkhäuser classics, Second edition, Boston, MA, 1996
备用版本
Modern Birkhäuser Classics Ser, 2nd ed, Boston, MA, 2007
备用版本
Modern Birkhäuser Classics, 2nd ed. 1996, Boston, 2007
备用版本
United States, United States of America
备用版本
2, 2007-11-13
备用版本
Nov 13, 2007
元数据中的注释
lg975285
元数据中的注释
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备用描述
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
备用描述
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.
备用描述
Front Matter....Pages i-xvii
“Classical” K -Theory....Pages 1-17
The Plus Construction....Pages 18-30
The Classifying Space of a Small Category....Pages 31-37
Exact Categories and Quillen’s Q -Construction....Pages 38-45
The K -Theory of Rings and Schemes....Pages 46-88
Proofs of the Theorems of Chapter 4....Pages 89-125
Comparison of the Plus and Q -Constructions....Pages 126-144
The Merkurjev—Suslin Theorem....Pages 145-193
Localization for Singular Varieties....Pages 194-229
Back Matter....Pages 230-341
备用描述
Modern Birkhäuser Classics
Erscheinungsdatum: 13.11.2007
开源日期
2013-08-01
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