Algebraic K-Theory (e-bog) af Srinivas, Vasudevan
Srinivas, Vasudevan (forfatter)

Algebraic K-Theory e-bog

583,01 DKK (inkl. moms 728,76 DKK)
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 p...
E-bog 583,01 DKK
Forfattere Srinivas, Vasudevan (forfatter)
Forlag Birkhauser
Udgivet 21 maj 2009
Genrer PBMW
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9780817647391
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 "e;Higher Algebraic K-Theory, I, II."e; 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.