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Titlebook: Rational Curves on Algebraic Varieties; János Kollár Book 1996 Springer-Verlag Berlin Heidelberg 1996 Chow Varietäten.Fano Varietäten.Fano

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书目名称Rational Curves on Algebraic Varieties
编辑János Kollár
视频video
概述Includes supplementary material:
丛书名称Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati
图书封面Titlebook: Rational Curves on Algebraic Varieties;  János Kollár Book 1996 Springer-Verlag Berlin Heidelberg 1996 Chow Varietäten.Fano Varietäten.Fano
描述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.
出版日期Book 1996
关键词Chow Varietäten; Fano Varietäten; Fano varieties; Hilbert schemes; Hilbertschemata; Kegel von Kurven; alge
版次1
doihttps://doi.org/10.1007/978-3-662-03276-3
isbn_softcover978-3-642-08219-1
isbn_ebook978-3-662-03276-3Series ISSN 0071-1136 Series E-ISSN 2197-5655
issn_series 0071-1136
copyrightSpringer-Verlag Berlin Heidelberg 1996
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Hilbert Schemes and Chow Varieties,Already at the very beginning of these studies it becomes clear that subvarieties come in families. The simplest case arises in studying hypersurfaces in ℙ., when we discover that smooth hypersurfaces of the same degree are very much alike — for instance, they are diffeomorphic to each other. Simila
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The Cone Theorem and Minimal Models, smooth varieties. Later development of this theory strayed far from the methods considered in this book. The cohomological methods of Kawamata— Reid—Shokurov are described in detail in [CKM88]. Minimal models are not fully covered in any monograph,. since the proof of the crucial flip theorem [Mori
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0071-1136 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.978-3-642-08219-1978-3-662-03276-3Series ISSN 0071-1136 Series E-ISSN 2197-5655
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