Algebraic K-Theory (Paperback)

Vasudevan Srinivas

ISBN 10: 0817647368 / ISBN 13: 9780817647360

Edité par Birkhauser Boston Inc, Secaucus, 2007

Paperback. 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. 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; Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780817647360

Synopsis :

The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. With its connections to algebra, algebraic geometry, topology, and number theory, algebraic k-theory has implications for a wide variety of researchers and graduate students in mathematics. 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.

Détails bibliographiques

Titre : Algebraic K-Theory (Paperback)
Éditeur : Birkhauser Boston Inc, Secaucus
Date d'édition : 2007
Reliure : Paperback
Etat : new
Edition : 2ème Édition