UID:
almahu_9947363293902882
Format:
VIII, 321 p.
,
online resource.
ISBN:
9783662032763
Series Statement:
Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics, 32
Content:
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.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783642082191
Language:
English
DOI:
10.1007/978-3-662-03276-3
URL:
http://dx.doi.org/10.1007/978-3-662-03276-3
