Rational Curves on Algebraic Varieties

1. Auflage 1996. Corr. 2. printing. Softcover version of original hardcover Auflage 1996
ISBN: 978-3-642-08219-1
Verlag: Springer

Buch, Englisch, Band 32, 321 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 505 g

Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Kollar, Janos

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

I. Hilbert Schemes and Chow Varieties.- II. Curves on Varieties.- III. The Cone Theorem and Minimal Models.- IV. Rationally Connected Varieties.- V. Fano Varieties.- VI. Appendix.- References.