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Rational Curves on Algebraic Varieties

Buch von Janos Kollar

75033828
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Details
Artikel-Nr.:
75033828
Im Sortiment seit:
03.07.2014
Erscheinungsdatum:
01/1995
Medium:
Buch
Einband:
Gebunden
Autor:
Kollar, Janos
Verlag:
Springer-Verlag GmbH
Springer Berlin
Rubrik:
Mathematik
Arithmetik, Algebra
Seiten:
300
Reihe:
Ergebnisse der Mathematik und ihrer Grenzgebiete (Nr. 32)
Gewicht:
605 gr
Beschreibung
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.
Information
The aim of this monograph is to give a comprehensive introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on them. The book contains many exercises which makes it especially suitable as a graduate level textbook.
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.
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