ENGLISH

Algebraic k-theory

By V. Srinivas

Book information

Publisher
Birkhäuser Boston
Year
1995
ISBN
9780817637026, 9780817647360, 0817637028, 0817647368
LCC
QA612.33 .S67 1996
Open Library ID
OL1401538M
Language
english
Format
PDF
Filesize
15 MB (15607868 bytes)
Series
Modern Birkhäuser Classics
Edition
2nd
Pages
358\358
Topic
Mathematics Algebra
Scanned
no
Time added
2009-08-06 05:14:26

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.

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