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Rational Curves on Algebraic Varieties

  • János Kollár

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 32)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. János Kollár
    Pages 1-4
  3. János Kollár
    Pages 5-89
  4. János Kollár
    Pages 90-158
  5. János Kollár
    Pages 159-178
  6. János Kollár
    Pages 179-237
  7. János Kollár
    Pages 238-284
  8. János Kollár
    Pages 285-307
  9. Back Matter
    Pages 308-321

About this book

Introduction

The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on varieties. The main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them. This Ergebnisse volume provides the first systematic introduction to this field of study. The book contains a large number of examples and exercises which serve to illustrate the range of the methods and also lead to many open questions of current research.

Keywords

Chow Varietäten Fano Varietäten Fano varieties Hilbert schemes Hilbertschemata Kegel von Kurven algebraic varieties chow varieties cone of curves rational connected varieties rational verknüpfte Varietäten uniruled varieties

Authors and affiliations

  • János Kollár
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03276-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08219-1
  • Online ISBN 978-3-662-03276-3
  • Series Print ISSN 0071-1136
  • Buy this book on publisher's site