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Intersection Theory

  • William Fulton

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 2)

Table of contents

  1. Front Matter
    Pages I-XI
  2. William Fulton
    Pages 1-5
  3. William Fulton
    Pages 6-27
  4. William Fulton
    Pages 28-46
  5. William Fulton
    Pages 47-69
  6. William Fulton
    Pages 70-85
  7. William Fulton
    Pages 86-91
  8. William Fulton
    Pages 92-118
  9. William Fulton
    Pages 119-129
  10. William Fulton
    Pages 130-152
  11. William Fulton
    Pages 153-174
  12. William Fulton
    Pages 175-194
  13. William Fulton
    Pages 195-209
  14. William Fulton
    Pages 210-234
  15. William Fulton
    Pages 235-241
  16. William Fulton
    Pages 242-279
  17. William Fulton
    Pages 280-304
  18. William Fulton
    Pages 305-318
  19. William Fulton
    Pages 319-338
  20. William Fulton
    Pages 339-369
  21. William Fulton
    Pages 393-405
  22. Back Matter
    Pages 406-472

About this book

Introduction

From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen­ turies, intersection theory has played a central role. Since its role in founda­ tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his­ tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel­ op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen­ dices. Some of the examples, and a few of the later sections, require more spe­ cialized knowledge. The text is designed so that one who understands the con­ structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa­ cilitate use as a reference.

Keywords

Algebraische Geometrie Blowing up Divisor Schnittheorie Topologie Zahlentheorie algebra algebraic geometry boundary element method design equation geometry number theory theorem toplogy

Authors and affiliations

  • William Fulton
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02421-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1984
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-02423-2
  • Online ISBN 978-3-662-02421-8
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site