Ebook: Vanishing Theorems on Complex Manifolds

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