Several Complex Variables and Complex Manifolds I

Mike Field

doi:10.1017/CBO9781107325562

This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

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Several Complex Variables and Complex Manifolds I

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Contents

Frontmatter
pp i-iv

Preface
pp v-vii

Contents
pp viii-viii

Notations and Conventions
pp ix-x

CHAPTER 1 - Functions of One Complex Variable
pp 1-42

CHAPTER 2 - Functions of Several Complex Variables
pp 43-97

CHAPTER 3 - Local Rings of Analytic Functions
pp 98-133

CHAPTER 4 - Complex Manifolds
pp 134-186

Bibliography
pp 187-194

Index
pp 195-198

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Several Complex Variables and Complex Manifolds I

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