Rational Curves on Algebraic Varieties

Janos Kollar

322 pages, parution le 01/12/1995

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Résumé

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.

Written for:
Researchers and graduate students working in the fields of Chow varieties, cone curves, Fano varieties, rational connected varieties, uniruled varieties, Hilbert schemes.

Sommaire

Introduction
Hilbert Schemes and Chow Varieties
Curves on Varieties
The Cone Theorem and Minimal Models
Rationally Connected Varieties
Fano Varieties
Appendix
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Janos Kollar
Parution	01/12/1995
Nb. de pages	322
Format	16 x 24
Couverture	Relié
Poids	608g
Intérieur	Noir et Blanc
EAN13	9783540601685
ISBN13	978-3-540-60168-5