Rational curves on algebraic varieties
著者
書誌事項
Rational curves on algebraic varieties
（Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge,
Springer, 1999
2nd printing
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注記
Includes bibliographical references (p. [308]-317) and index
"The second printing corrects several mistakes of the first printg. The mathmatically significant improvements are in (I.1.7.2), (I.7.4.1) and (IV.4.15.2)"--Preface
内容説明・目次
内容説明
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.
目次
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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