Algebraic K-Theory
Algebraic K-Theory (Modern Birkhäuser Classics) V. Srinivas,
Publisher: Birkhäuser Boston
ISBN: 0817647368
DDC: 516
Edition: Paperback; 2007-11-13
Summary:
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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