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Complex Analysis and Geometry

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Cover of 'Complex Analysis and Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Fatou Flowers and Parabolic Curves
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    Chapter 2 A CR Proof for a Global Estimate of the Diederich–Fornaess Index of Levi-Flat Real Hypersurfaces
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    Chapter 3 Unbounded Pseudoconvex Domains in $${\mathbb {C}}^n$$ C n and Their Invariant Metrics
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    Chapter 4 Abstract Basins of Attraction
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    Chapter 5 Invertible Dynamics on Blow-ups of $${\mathbb {P}}^{k}$$ P k
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    Chapter 6 On Nazarov’s Complex Analytic Approach to the Mahler Conjecture and the Bourgain-Milman Inequality
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    Chapter 7 A Survey on Bergman Completeness
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    Chapter 8 Structure Theorems for Compact Kähler Manifolds with Nef Anticanonical Bundles
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    Chapter 9 An Estimate for the Squeezing Function and Estimates of Invariant Metrics
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    Chapter 10 Classification of Proper Holomorphic Mappings Between Generalized Pseudoellipsoids of Different Dimensions
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    Chapter 11 Bergman Kernel Asymptotics and a Pure Analytic Proof of the Kodaira Embedding Theorem
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    Chapter 12 On the Density and the Volume Density Property
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    Chapter 13 On Meromorphic Continuation of Local Zeta Functions
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    Chapter 14 Themes on Non-analytic Singularities of Plurisubharmonic Functions
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    Chapter 15 Proper Holomorphic Maps Between Bounded Symmetric Domains
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    Chapter 16 Characterizations of Strongly Pseudoconvex Models in Almost Complex and CR Geometries
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    Chapter 17 Compact Smooth but Non-complex Complements of Complete Kähler Manifolds
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    Chapter 18 Injectivity theorems with multiplier ideal sheaves and their applications
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    Chapter 19 Amoebas of Cuspidal Strata for Classical Discriminant
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    Chapter 20 A Remark on Hörmander’s Isomorphism
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    Chapter 21 The Julia-Wolff-Carathéodory Theorem and Its Generalizations
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    Chapter 22 A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions
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    Chapter 23 $$L^2$$ L 2 -Serre Duality on Singular Complex Spaces and Applications
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    Chapter 24 Proper Holomorphic Maps Between Bounded Symmetric Domains
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    Chapter 25 Some Dynamical Systems of Extremal Measures
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    Chapter 26 On Representative Domains and Cartan’s Theorem
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    Chapter 27 On Curvature Estimates of Bounded Domains
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    Chapter 28 Some Problems
Attention for Chapter 7: A Survey on Bergman Completeness
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Chapter title
A Survey on Bergman Completeness
Chapter number 7
Book title
Complex Analysis and Geometry
Published by
Springer, Tokyo, January 2015
DOI 10.1007/978-4-431-55744-9_7
Book ISBNs
978-4-43-155743-2, 978-4-43-155744-9
Authors

Bo-Yong Chen, Chen, Bo-Yong

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 137 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 137 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 <1%
Unknown 136 99%
Readers by discipline Count As %
Mathematics 1 <1%
Unknown 136 99%