Vanishing Theorems on Complex Manifolds
β Bernard Shiffman, Andrew John Sommese (auth.)
π Library
π
1985
π BirkhΓ€user Basel
π English
β¦ LIBER β¦
π
Vanishing Theorems on Complex Manifolds
β Scribed by Bernard Shiffman, Andrew John Sommese (auth.)
- Publisher
- BirkhΓ€user Basel
- Year
- 1985
- Tongue
- English
- Leaves
- 186
- Series
- Progress in Mathematics 56
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
This book offers a comprehensive treatment of recent
results in a clear and efficient exposition. The excellent
introduction motivates the reader with geometric
examples, and the text then leads the reader into more
recent results such as vanishing theorems of Ramanujam,
Kawamata and Vieweg. It will be of interest to graduate
students and research mathematicians both in complex
analysis and algebraic geometry.
CONTENTS:
Introduction
Chapter I. Complex Differential Geometry
Chapter II. Kodaira-Nakano Vanishing Theorems
Chapter III. Generalizations of the Nakano Vanishing Theorem
Chapter IV. Special Vanishing Theorems
Chapter V. Vector Bundles: Ampleness
Chapter VI. Vector Bundles: Geometric Positivity
Chapter VII. Generalizations of the Kodaira Vanishing Theorem
Bibliography
β¦ Table of Contents
Front Matter....Pages i-xiii
Complex Differential Geometry....Pages 1-25
Kodaira-Nakano Vanishing Theorems....Pages 26-49
Generalizations of the Nakano Vanishing Theorem....Pages 50-69
Special Vanishing Theorems....Pages 70-88
Vector Bundles: Ampleness....Pages 89-116
Vector Bundles: Geometric Positivity....Pages 117-132
Generalizations of the Kodaira Vanishing Theorem....Pages 133-158
Back Matter....Pages 159-170
β¦ Subjects
Science, general
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