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Complex Geometry: An Introduction

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Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Author(s): Daniel Huybrechts
Series: Universitext
Edition: 1
Publisher: Springer
Year: 2004

Language: English
Pages: 321

Cover......Page 1
Complex Geometry
An Introduction......Page 3
ISBN 3540212906......Page 4
Preface......Page 5
Contents......Page 10
1 Local Theory......Page 12
2 Complex Manifolds......Page 62
3 Kahler Manifolds......Page 124
4 Vector Bundles......Page 175
5 Applications of Cohomology......Page 240
6 Deformations of Complex Structures......Page 263
A Hodge Theory on Differentiable Manifolds......Page 289
B
Sheaf Cohomology......Page 295
References......Page 305
Index......Page 310