Algebraic Geometry I

Algebraic Curves, Algebraic Manifolds and Schemes

  • I. R. Shafarevich

Part of the Encyclopaedia of Mathematical Sciences book series (volume 23)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Riemann Surfaces and Algebraic Curves

    1. Front Matter
      Pages 1-4
    2. I. R. Shafarevich
      Pages 5-15
    3. I. R. Shafarevich
      Pages 16-88
    4. I. R. Shafarevich
      Pages 89-138
    5. I. R. Shafarevich
      Pages 139-162
    6. Back Matter
      Pages 163-166
  3. Algebraic Varieties and Schemes

    1. Front Matter
      Pages 167-171
    2. I. R. Shafarevich
      Pages 172-173
    3. I. R. Shafarevich
      Pages 174-210
    4. I. R. Shafarevich
      Pages 210-244
    5. I. R. Shafarevich
      Pages 244-280
    6. I. R. Shafarevich
      Pages 280-293
    7. Back Matter
      Pages 167-171

About this book

Introduction

From the reviews of the first printing, published as volume 23 of the Encyclopaedia of Mathematical Sciences:
"This volume... consists of two papers. The first, written by V.V.Shokurov, is devoted to the theory of Riemann surfaces and algebraic curves. It is an excellent overview of the theory of relations between Riemann surfaces and their models - complex algebraic curves in complex projective spaces. ... The second paper, written by V.I.Danilov, discusses algebraic varieties and schemes. ...
I can recommend the book as a very good introduction to the basic algebraic geometry."
European Mathematical Society Newsletter, 1996

"... To sum up, this book helps to learn algebraic geometry in a short time, its concrete style is enjoyable for students and reveals the beauty of mathematics."
Acta Scientiarum Mathematicarum, 1994

Keywords

Riemann surface YellowSale2006 algebraic curves schemes algebraic curve algebraic geometry algebraic varieties differentiable manifold differential equation Dimension Divisor Hilbert space integration manifold residue topology Zariski topology

Editors and affiliations

  • I. R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-57878-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63705-9
  • Online ISBN 978-3-642-57878-6
  • Series Print ISSN 0938-0396
  • About this book