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

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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 ?., when we discover that smooth hypersurfaces of the same degree are very much alike — for instance, they are diffeomorphic to each other. Simila

adroit

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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STELL

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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