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Titlebook: Geometry of Higher Dimensional Algebraic Varieties; Yoichi Miyaoka,Thomas Peternell Book 1997 Springer Basel AG 1997 Algebra.Complex analy

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书目名称Geometry of Higher Dimensional Algebraic Varieties
编辑Yoichi Miyaoka,Thomas Peternell
视频video
丛书名称Oberwolfach Seminars
图书封面Titlebook: Geometry of Higher Dimensional Algebraic Varieties;  Yoichi Miyaoka,Thomas Peternell Book 1997 Springer Basel AG 1997 Algebra.Complex analy
描述This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub­ ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex­ plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mat
出版日期Book 1997
关键词Algebra; Complex analysis; Manifold; algebraic geometry; algebraic varieties; calculus; complex analyisis;
版次1
doihttps://doi.org/10.1007/978-3-0348-8893-6
isbn_softcover978-3-7643-5490-9
isbn_ebook978-3-0348-8893-6Series ISSN 1661-237X Series E-ISSN 2296-5041
issn_series 1661-237X
copyrightSpringer Basel AG 1997
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Perioden der deutschen Sprachgeschichte,ential forms. Thanks to the MRC-fibrations, we get a classification of the complex uniruled threefolds into three clearly distinguished classes..Except in Section 5, all varieties in this section are defined over the complex numbers, and are often viewed as complex manifolds.
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Rationally Connected Fibrations and Applicationsential forms. Thanks to the MRC-fibrations, we get a classification of the complex uniruled threefolds into three clearly distinguished classes..Except in Section 5, all varieties in this section are defined over the complex numbers, and are often viewed as complex manifolds.
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Construction of Non-Trivial Deformations via Frobeniusnal curves on smooth projective varieties whose canonical divisors are not nef..This technique, developed in the famous solution [Mori 1] of a conjecture of R. Hartshorne, was the starting point to the theory of extremal rays and minimal models. As one of its applications, we characterize a class of
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Foliations and Purely Inseparable Coverings lecture, we discuss a refined characterization of such varieties in terms of the tangent bundle. Namely, a smooth projective variety in characteristic zero is uniruled unless its tangent bundle is almost everywhere seminegative..The proof of this result is made by using quotient varieties by foliat
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