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Rational Curves on Algebraic Varieties

Rational Curves on Algebraic Varieties
Catalogue Information
Field name Details
Dewey Class 516.35
Title Rational Curves on Algebraic Varieties ([EBook] /) / by János Kollár.
Author Kollár, János
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1996.
Physical Details VIII, 321 p. : online resource.
Series Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 0071-1136 ; ; 32
ISBN 9783662032763
Summary Note 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.:
Contents 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-03276-3
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