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Basic Algebraic Geometry 2

  • Igor R. Shafarevich

Table of contents

  1. Front Matter
    Pages I-XV
  2. Schemes and Varieties

    1. Front Matter
      Pages 1-1
    2. Igor R. Shafarevich
      Pages 3-48
    3. Igor R. Shafarevich
      Pages 49-113
  3. Complex Algebraic Varieties and Complex Manifolds

    1. Front Matter
      Pages 115-115
    2. Igor R. Shafarevich
      Pages 117-151
    3. Igor R. Shafarevich
      Pages 153-204
    4. Igor R. Shafarevich
      Pages 205-232
    5. Igor R. Shafarevich
      Pages 233-251
  4. Back Matter
    Pages 253-269

About this book

Introduction

Shafarevich Basic Algebraic Geometry 2 The second edition of Shafarevich's introduction to algebraic geometry is in two volumes. The second volume covers schemes and complex manifolds, generalisations in two different directions of the affine and projective varieties that form the material of the first volume. Two notable additions in this second edition are the section on moduli spaces and representable functors, motivated by a discussion of the Hilbert scheme, and the section on Kähler geometry. The book ends with a historical sketch discussing the origins of algebraic geometry. From the Zentralblatt review of this volume: "... one can only respectfully repeat what has been said about the first part of the book (...): a great textbook, written by one of the leading algebraic geometers and teachers himself, has been reworked and updated. As a result the author's standard textbook on algebraic geometry has become even more important and valuable. Students, teachers, and active researchers using methods of algebraic and complex-analytic geometry in different areas of mathematics and theoretical physics should be grateful to the author for his renewed service to the mathematical community."

Keywords

Algebraic geometry Algebraische Geometrie Geometry Schemata YellowSale2006 complex algebraic varieties komplexe algebraische Varietäten schemes algebraic curve algebraic geometry algebraic group algebraic varieties Dimension Divisor geometry manifold Schema sheaves topology Zariski topology

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-57956-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57554-2
  • Online ISBN 978-3-642-57956-1
  • Buy this book on publisher's site