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Algebraic Geometry

A First Course

  • Joe¬†Harris

Part of the Graduate Texts in Mathematics book series (GTM, volume 133)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Examples of Varieties and Maps

    1. Front Matter
      Pages 1-1
    2. Joe Harris
      Pages 3-16
    3. Joe Harris
      Pages 17-31
    4. Joe Harris
      Pages 41-47
    5. Joe Harris
      Pages 63-71
    6. Joe Harris
      Pages 72-87
    7. Joe Harris
      Pages 88-97
    8. Joe Harris
      Pages 98-113
    9. Joe Harris
      Pages 114-129
  3. Attributes of Varieties

    1. Front Matter
      Pages 131-131
    2. Joe Harris
      Pages 151-162
    3. Joe Harris
      Pages 163-173
    4. Joe Harris
      Pages 174-185
    5. Joe Harris
      Pages 200-210

About this book

Introduction

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.

Keywords

Dimension Grad algebraic geometry algebraic group

Authors and affiliations

  • Joe¬†Harris
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-2189-8
  • Copyright Information Springer-Verlag New York 1992
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3099-6
  • Online ISBN 978-1-4757-2189-8
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site