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Rational Curves on Algebraic Varieties

  • Book
  • © 1996

Overview

Authors:
  1. János Kollár

    1. Department of Mathematics, Princeton University, Princeton, USA

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    • János Kollár
    Pages 1-4

  3. Hilbert Schemes and Chow Varieties

    • János Kollár
    Pages 5-89

  4. Curves on Varieties

    • János Kollár
    Pages 90-158

  5. The Cone Theorem and Minimal Models

    • János Kollár
    Pages 159-178

  6. Rationally Connected Varieties

    • János Kollár
    Pages 179-237

  7. Fano Varieties

    • János Kollár
    Pages 238-284

  8. Appendix

    • János Kollár
    Pages 285-307

  9. Back Matter

    Pages 308-321
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Princeton University, Princeton, USA

    János Kollár

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