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Basic Algebraic Geometry 1

  • Textbook
  • © 1994

Overview

Authors:
  1. Igor R. Shafarevich

    1. Steklov Mathematical Institute, Moscow, Russia

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  • Elementary introduction
  • Author is one of the pioneers in the subject
  • Author is outstanding mathematics writer

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XIX
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  2. Basic Notions

    • Igor R. Shafarevich
    Pages 1-82

  3. Local Properties

    • Igor R. Shafarevich
    Pages 83-149

  4. Divisors and Differential Forms

    • Igor R. Shafarevich
    Pages 151-222

  5. Intersection Numbers

    • Igor R. Shafarevich
    Pages 223-273

  6. Back Matter

    Pages 275-303
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Keywords

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.

Reviews

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)

Authors and Affiliations

  • Steklov Mathematical Institute, Moscow, Russia

    Igor R. Shafarevich

Bibliographic Information

  • Book Title: Basic Algebraic Geometry 1

  • Authors: Igor R. Shafarevich

  • DOI: https://doi.org/10.1007/978-3-642-57908-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • eBook ISBN: 978-3-642-57908-0Published: 27 November 2013

  • Edition Number: 2

  • Number of Pages: XX, 304

  • Additional Information: Originally published in one volume. Original Russian edition published by Nauka, Moscow 1988

  • Topics: Algebraic Geometry, Theoretical, Mathematical and Computational Physics

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