© 1994

Basic Algebraic Geometry 1

  • Elementary introduction

  • Author is one of the pioneers in the subject

  • Author is outstanding mathematics writer


Table of contents

  1. Front Matter
    Pages I-XIX
  2. Igor R. Shafarevich
    Pages 1-82
  3. Igor R. Shafarevich
    Pages 83-149
  4. Igor R. Shafarevich
    Pages 151-222
  5. Igor R. Shafarevich
    Pages 223-273
  6. Back Matter
    Pages 275-303

About this book


The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus. The 15 years that have elapsed since the first edition have seen the appear­ ance of many beautiful books treating various branches of algebraic geometry. However, as far as I know, no other author has been attracted to the aim which this book set itself: to give an overall view of the many varied aspects of algebraic geometry, without going too far afield into the different theories. There is thus scope for a second edition. In preparing this, I have included some additional material, rather varied in nature, and have made some small cuts, but the general character of the book remains unchanged.


Algebraic Geometry Algebraische Geometrie Singularities Singularitäten Varieties Varietäten Abelian variety algebraic curve algebraic geometry algebraic group Dimension Divisor field theory geometry invariant Riemann-Roch theorem

Authors and affiliations

  1. 1.Steklov Mathematical InstituteMoscowRussia

Bibliographic information

  • Book Title Basic Algebraic Geometry 1
  • Authors Igor R. Shafarevich
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-54812-6
  • eBook ISBN 978-3-642-57908-0
  • Edition Number 2
  • Number of Pages XX, 304
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published in one volume. Original Russian edition published by Nauka, Moscow 1988
  • Topics Algebraic Geometry
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site
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Finance, Business & Banking


From the reviews:

"To my best knowledge, only this book manages to describe so many advanced constructions while still being accessible for researchers outside the field of algebraic geometry. This book is indeed a tremendous achievement." (Newsletter on Computational and Applied Mathematics)