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Basic Algebraic Geometry

  • Book
  • © 1974

Overview

Authors:
  1. Igor R. Shafarevich

    1. Steklov Mathematical Institute, Academy of Sciences, USSR

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Part of the book series: Springer Study Edition (SSE)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XV
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  2. Algebraic Varieties in a Projective Space

    1. Front Matter

      Pages 1-1
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    2. Fundamental Concepts

      • Igor R. Shafarevich
      Pages 3-70

    3. Local Properties

      • Igor R. Shafarevich
      Pages 71-126

    4. Divisors and Differential Forms

      • Igor R. Shafarevich
      Pages 127-181

    5. Intersection Indices

      • Igor R. Shafarevich
      Pages 182-217

  3. Schemes and Varieties

    1. Front Matter

      Pages 219-219
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    2. Schemes

      • Igor R. Shafarevich
      Pages 221-262

    3. Varieties

      • Igor R. Shafarevich
      Pages 263-306

  4. Algebraic Varieties over the Field of Complex Numbers and Complex Analytic Manifolds

    1. Front Matter

      Pages 307-307
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    2. Topology of Algebraic Varieties

      • Igor R. Shafarevich
      Pages 309-342

    3. Complex Analytic Manifolds

      • Igor R. Shafarevich
      Pages 343-379

    4. Uniformization

      • Igor R. Shafarevich
      Pages 380-408

  5. Back Matter

    Pages 409-439
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Keywords

Authors and Affiliations

  • Steklov Mathematical Institute, Academy of Sciences, USSR

    Igor R. Shafarevich

Bibliographic Information

  • Book Title: Basic Algebraic Geometry

  • Authors: Igor R. Shafarevich

  • Series Title: Springer Study Edition

  • DOI: https://doi.org/10.1007/978-3-642-96200-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1974

  • Softcover ISBN: 978-3-540-08264-4Published: 01 June 1977

  • eBook ISBN: 978-3-642-96200-4Published: 06 December 2012

  • Series ISSN: 0172-6234

  • Edition Number: 1

  • Number of Pages: XVI, 440

  • Additional Information: Title of the original Russian edition: Osnovy algebraiceskoj geometrii

  • Topics: Mathematics, general

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