Complex Analysis

Table of Contents

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   Book Overview
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   Chapter 1 Smooth proper modifications of compact Kähler manifolds
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   Chapter 2 L p -Estimates for ∂̄ in ℂ
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   Chapter 3 Canonical resolutions of sheaves on Schubert and Brieskorn varieties
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   Chapter 4 La forme hermitienne canonique pour une singularité presque isolée
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   Chapter 5 A generalized Cousin problem for subvarieties of the bidisk
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   Chapter 6 Scalar Curvature and Twistor Geometry
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   Chapter 7 Some Remarks on weighted Estimates for ∂̄
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   Chapter 8 Circular Models and Normal Forms for Convex Domains
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    Chapter 9 L p -Estimates with Loss for the Bergman Projection and the Canonical Solution to ∂̄
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    Chapter 10 Distortion Function and the Heat Kernel of a Positive Line Bundle
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    Chapter 11 Twistor spaces and non-hyperbolicity of certain symplectic Kähler manifolds
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    Chapter 12 Envelopes of Holomorphy of Domains in C n
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    Chapter 13 Representing Measures in the Spectrum of H ∞ (Ω)
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    Chapter 14 Estimées C k, α pour l’equation ∂̄ u = f dans les convexes
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    Chapter 15 Local hyperconvexity and local hyperconcavity
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    Chapter 16 Domaines a estimation maximale
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    Chapter 17 Deformation of Compact Riemann Surfaces with Distinguished Points
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    Chapter 18 Local Extension of Holomorphic L 2 -Functions with Weights
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    Chapter 19 On the Boundary Behavior of the Caratheodory and Kobayashi Distances in Strongly Pseudoconvex Domains in C n
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    Chapter 20 Zur Klassifikation der 1-konvexen komplexen Räume
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    Chapter 21 Holomorphic Mappings into Convex Domains
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    Chapter 22 On second order hypoelliptic differential operators and the ∂̄-Neumann problem
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    Chapter 23 Equisingularity of Analytically Constructible Sets
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    Chapter 24 Fonction de Artin d’un germe d’espace analytique
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    Chapter 25 Local Peak Sets and Maximum Modulus Sets in Products of Strictly Pseudoconvex Domains
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    Chapter 26 Hyperbolic ℂ*-Actions on Affine Algebraic Surfaces
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    Chapter 27 On complex manifolds exhausted by biholomorphic images of generalized complex ellipsoids $$\mathbb{E}$$ (n;n 1 , ... , n s ;p 1 , ... , p s )
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    Chapter 28 The Hard Lefschetz Theorem for Concave and Convex Algebraic Manifolds
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    Chapter 29 Sur la résolution des équations de Cauchy-Riemann tangentielles pour les formes à support compact dans les variétés CR
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    Chapter 30 Imbedding pseudohermitian manifolds into a sphere
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    Chapter 31 Deformations of Strongly Pseudo-Convex CR Structures and Deformations of Normal Isolated Singularities
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    Chapter 32 The Behavior of Multiplier Ideal Sheaves under Morphisms
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    Chapter 33 Local Geometry of Decoupled Pseudoconvex Domains
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    Chapter 34 A Vanishing Theorem on Kähler Manifolds with Certain Stratified Structures
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    Chapter 35 Hodge-Kohomologie und Steinsche Mannigfaltigkeiten
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    Chapter 36 The Cauchy-Riemann Equations in Convex Domains
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    Chapter 37 Integral Kernels and Hölder Estimates for ∂̄ on Pseudocovnex Domains of Finite Type in C 2
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    Chapter 38 Complex Analysis in the Golden Fifties
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    Chapter 39 On q -Convex Exhaustion Functions of Complements of CR-Submanifolds
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    Chapter 40 A Characterization of Homogeneous Bounded Domains
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    Chapter 41 Singular Sets of Separately Analytic Functions
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    Chapter 42 Some Recent Results Related to the Uniformization Problem in Several Complex Variables
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    Chapter 43 Product Decomposition of non reduced Space Germs
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    Chapter 44 Modular Subgerms and the Isomorphism Problem in Deformation Theory
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    Chapter 45 A new method to introduce a priori estimates for the ∂̄ Neumann problem
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    Chapter 46 Maximal and Semi-Maximal Estimates for ∂̄ b on Pseudoconvex Manifolds
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    Chapter 47 Degenerations of Instantons
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    Chapter 48 Second Main Theorems in Number Theory and Nevanlinna Theory
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    Chapter 49 Symplectic Techniques in Holomorphic Group Actions