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CHAPTER I. HYPERSURFACES AND GENERIC SUBMANIFOLDS IN ℂN
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M. Salah Baouendi
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Chapters in this book
- Frontmatter i
- CONTENTS vii
- PREFACE xi
- CHAPTER I. HYPERSURFACES AND GENERIC SUBMANIFOLDS IN ℂN 1
- CHAPTER II. ABSTRACT AND EMBEDDED CR STRUCTURES 35
- CHAPTER III. VECTOR FIELDS: COMMUTATORS, ORBITS, AND HOMOGENEITY 62
- CHAPTER IV. COORDINATES FOR GENERIC SUBMANIFOLDS 94
- CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS 119
- CHAPTER VI. GEOMETRY OF ANALYTIC DISCS 156
- CHAPTER VII. BOUNDARY VALUES OF HOLOMORPHIC FUNCTIONS IN WEDGES 184
- CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS 205
- CHAPTER IX. HOLOMORPHIC EXTENSION OF MAPPINGS OF HYPERSURFACES 241
- CHAPTER X. SEGRE SETS 281
- CHAPTER XI. NONDEGENERACY CONDITIONS FOR MANIFOLDS 315
- CHAPTER XII. HOLOMORPHIC MAPPINGS OF SUBMANIFOLDS 349
- CHAPTER XIII. MAPPINGS OF REAL-ALGEBRAIC SUBVARIETIES 379
- REFERENCES 390
- INDEX 401
Chapters in this book
- Frontmatter i
- CONTENTS vii
- PREFACE xi
- CHAPTER I. HYPERSURFACES AND GENERIC SUBMANIFOLDS IN ℂN 1
- CHAPTER II. ABSTRACT AND EMBEDDED CR STRUCTURES 35
- CHAPTER III. VECTOR FIELDS: COMMUTATORS, ORBITS, AND HOMOGENEITY 62
- CHAPTER IV. COORDINATES FOR GENERIC SUBMANIFOLDS 94
- CHAPTER V. RINGS OF POWER SERIES AND POLYNOMIAL EQUATIONS 119
- CHAPTER VI. GEOMETRY OF ANALYTIC DISCS 156
- CHAPTER VII. BOUNDARY VALUES OF HOLOMORPHIC FUNCTIONS IN WEDGES 184
- CHAPTER VIII. HOLOMORPHIC EXTENSION OF CR FUNCTIONS 205
- CHAPTER IX. HOLOMORPHIC EXTENSION OF MAPPINGS OF HYPERSURFACES 241
- CHAPTER X. SEGRE SETS 281
- CHAPTER XI. NONDEGENERACY CONDITIONS FOR MANIFOLDS 315
- CHAPTER XII. HOLOMORPHIC MAPPINGS OF SUBMANIFOLDS 349
- CHAPTER XIII. MAPPINGS OF REAL-ALGEBRAIC SUBVARIETIES 379
- REFERENCES 390
- INDEX 401