Colloquium Publications 1946; 363 pp; softcover Volume: 29 Reprint/Revision History: revised and enlarged edition 1962; ninth printing with corrections 1999; tenth printing 2000 ISBN10: 0821810294 ISBN13: 9780821810293 List Price: US$44 Member Price: US$35.20 Order Code: COLL/29
 This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely selfcontained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals. Reviews "It is not often that one reviews a text written 53 years ago, updated 37 years ago, and still as relevant today as it was in its previous incarnations ... This book has played an important role in establishing the mathematical foundations of Algebraic Geometry and in providing its accepted language. Although there have been very significant subsequent ideological shifts in the subject, this book is just as fresh today as it was when it first appeared."  Monatshefte für Mathematik Table of Contents  Algebraic preliminaries
 Algebraic theory of specializations
 Analytic theory of specializations
 The geometric language
 Intersectionmultiplicities (special case)
 General intersectiontheory
 The geometry on abstract varieties
 The calculus of cycles
 Divisors and linear systems
 Comments and discussions
 Appendix I. Normal varieties and normalization
 Appendix II. Characterization of the \(i\)symbol by its properties
 Appendix III. Varieties over topological fields
 Index of definitions
