Table of contents

  1. Front Matter
    Pages I-XIII
  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

About this book

Introduction

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. A suggested prerequisite for the reading of this book is a first course in algebraic geometry. Fulton's introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996.

Keywords

Chern class Division Divisor Equivalence algebra algebraic geometry eXist equation form geometry history of mathematics story vector bundle

Authors and affiliations

  • William¬†Fulton
    • 1
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1700-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98549-7
  • Online ISBN 978-1-4612-1700-8
  • About this book