Higher Algebraic K-Theory: an overview
This book is a general introduction to Higher Algebraic K-groups of rings and algebraic varieties, which were first defined by Quillen at the beginning of the 70's. These K-groups happen to be useful in many different fields, including topology, algebraic
- PDF / 9,481,273 Bytes
- 172 Pages / 468 x 684 pts Page_size
- 29 Downloads / 170 Views
1491
E. Lluis-Puebla J. L. Loday C. Soule V. Snaith
H. Gillet
Higher Algebraic K -Theory: an overview
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
Authors Emilio Lluis-Puebla Departamento de Maternaticas Facultad de Ciencias Circuito Exterior Ciudad Universitaria Mexico 04510 D. F., Mecixo Jean-Louis Loday Institut de Recherche Mathematique Avancee ULP et CNRS, 7, rue Rene Descartes 67084 Strasbourg, France Henri Gillet Department of Mathematics University of Illinois Chicago Box 4348 Chicago, IL60680, USA Christophe Soule Institut des Hautes Etudes Scientifiques 35, Route de Chartres 91440 Bures-sur-Yvette, France Victor Snaith Department of Mathematics and Statistics Mc Master University 1280 Main St. w., Hamilton, Ontario, Canada L8S 4Kl
Mathematics Subject Classification (1980): 19, 11, 13, 14,55 ISBN 3-540-55007-0 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-55007-0 Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1992 Printed in Germany Typesetting: Camera ready by author Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr, 46/3140-543210 - Printed on acid-free paper
Preface This volume consists of five different papers on Higher Algebraic K-theory. These are based on several series of lectures delivered during the "First seminar on Algebraic K-theory" at the "Universidad Nacional Autonoma de Mexico" in 1985. Their purpose is to introduce students to this important field by explaining the basic concepts, surveying the main ideas and results, and describing some of the most recent developments. Each series of lectures has its own perspective (algebra, algebraic geometry or number theory) and is somewhat independent ofthe other ones. For instance, a basic notion like the cohomology of groups is presented several times. On the other hand, their combination should give a fairly comprehensive overview of the field. Occasionally, results explained in one series of lectures are used (and then explicitly referred to) in another one. Proofs are not always given, but we hope that the reader will find this volume enjoyable and useful as an introduction to the vast literature. I would like to thank the Universidad Nacional Autonoma de Mexico and the director of the Faculty of Sciences, Dr. Felix Recillas, for their support and encouragement without which this meeting would not have taken place. Also all my thanks go to Carolina Bello and In
Data Loading...
