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Rational Curves on Algebraic Varieties

Autor Janos Kollár
en Limba Engleză Paperback – dec 2010
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.
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Specificații

ISBN-13: 9783642082191
ISBN-10: 364208219X
Pagini: 332
Ilustrații: VIII, 321 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.51 kg
Ediția:Softcover reprint of hardcover 1st ed. 1996
Editura: Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Caracteristici

Includes supplementary material: sn.pub/extras