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Geometry of Higher Dimensional Algebraic Varieties

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ISBN-10: 3764354909

ISBN-13: 9783764354909

Edition: 1997

Authors: Yoichi Miyaoka, Thomas Peternell

List price: $49.95
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Book details

List price: $49.95
Copyright year: 1997
Publisher: Springer Basel AG
Publication date: 3/20/1997
Binding: Paperback
Pages: 218
Size: 7.01" wide x 10.00" long
Weight: 1.804
Language: English

Preface
Geometry of Rational Curves on Varieties
Introduction: Why Rational Curves
Deformations and Rational Curves
Construction of Non-Trivial Deformations via Frobenius
Foliations and Purely Inseparable Coverings
Abundance for Minimal 3-Folds
Rationally Connected Fibrations and Applications
An Introduction to the Classification of Higherdimensional Complex Varieties
Notations
Surfaces and a first View to Higher Dimensions
Singularities
Vanishing Theorems
The Ample Cone
The Base Point Free Theorem
The Cone Theorem
Fano Manifolds and the Structure of Contractions of Extremal Rays
Surfaces and Threefolds
Minimal Models
A View to Adjunction Theory
Calabi-Yau Threefolds
Index