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Basic Algebraic Geometry 2

Schemes and Complex Manifolds

  • Textbook
  • © 1994

Overview

Authors:
  1. Igor R. Shafarevich

    1. Steklov Mathematical Institute, Moscow, Russia

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XV
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  2. Schemes and Varieties

    1. Front Matter

      Pages 1-1
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    2. Schemes

      • Igor R. Shafarevich
      Pages 3-48

    3. Varieties

      • Igor R. Shafarevich
      Pages 49-113

  3. Complex Algebraic Varieties and Complex Manifolds

    1. Front Matter

      Pages 115-115
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    2. The Topology of Algebraic Varieties

      • Igor R. Shafarevich
      Pages 117-151

    3. Complex Manifolds

      • Igor R. Shafarevich
      Pages 153-204

    4. Uniformisation

      • Igor R. Shafarevich
      Pages 205-232

    5. Historical Sketch

      • Igor R. Shafarevich
      Pages 233-251

  4. Back Matter

    Pages 253-269
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Keywords

About this book

The second volume of Shafarevich's introductory book on algebraic varieties and complex manifolds. As with Volume 1, the author has revised the text and added new material, e.g. as a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum, making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as those in theoretical physics.

Authors and Affiliations

  • Steklov Mathematical Institute, Moscow, Russia

    Igor R. Shafarevich

Bibliographic Information

  • Book Title: Basic Algebraic Geometry 2

  • Book Subtitle: Schemes and Complex Manifolds

  • Authors: Igor R. Shafarevich

  • DOI: https://doi.org/10.1007/978-3-642-57956-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • eBook ISBN: 978-3-642-57956-1Published: 27 November 2012

  • Edition Number: 2

  • Number of Pages: XVI, 270

  • 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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