Complex Manifolds and Deformation of Complex Structures

Author: Kunihiko Kodaira

Publisher: Springer Berlin Heidelberg

Book Series : Classics in Mathematics

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

About this book

From the reviews:

"The author, [...], has written a book which will be of service to all who are interested in this by now vast subject. [...] This is a book of many virtues: mathematical, historical, and pedagogical. Parts of it could be used for a graduate complex manifolds course.
J.A. Carlson in Mathematical Reviews, 1987

"There are many mathematicians, or even physicists, who would find this book useful and accessible, but its distinctive attribute is the insight it gives into a brilliant mathematician's work. [...] It is intriguing to sense between the lines Spencer's optimism, Kodaira's scepticism or the shadow of Grauert with his very different methods, as it is to hear of the surprises and ironies which appeared on the way. Most of all it is a piece of work which shows mathematics as lying somewhere between discovery and invention, a fact which all mathematicians know, but most inexplicably conceal in their work."
N.J. Hitchin in the Bulletin of the London Mathematical Society, 1987

Backmatter

Title: Complex Manifolds and Deformation of Complex Structures
Author: Kunihiko Kodaira
Publisher: Springer Berlin Heidelberg
Electronic ISBN: 978-3-540-26961-8
Print ISBN: 978-3-540-22614-7
DOI: https://doi.org/10.1007/b138372

Springer Professional

Complex Manifolds and Deformation of Complex Structures

About this book

Table of Contents

Frontmatter

Chapter 1. Holomorphic Functions

Chapter 2. Complex Manifolds

Chapter 3. Differential Forms, Vector Bundles, Sheaves

Chapter 4. Infinitesimal Deformation

Chapter 5. Theorem of Existence

Chapter 6. Theorem of Completeness

Chapter 7. Theorem of Stability

Backmatter

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