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" Geometric complex analysis : "
edited by Jisoo Byun, Hong Rae Cho, Sung Yeon Kim, Kang-Hyurk Lee, Jong-Do Park.
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BL
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| Record Number
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889976
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| Main Entry
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Korean Conference on Several Complex Variables(12th :2017 :, Kyŏngju-si, Korea)
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| Title & Author
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Geometric complex analysis : : in honor of Kang-Tae Kim's 60th Birthday, Gyeongju, Korea, 2017 /\ edited by Jisoo Byun, Hong Rae Cho, Sung Yeon Kim, Kang-Hyurk Lee, Jong-Do Park.
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| Publication Statement
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Singapore :: Springer,, 2018.
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| Series Statement
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Springer proceedings in mathematics & statistics,; volume 246
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1 online resource (xiii, 361 pages) :: illustrations (some color)
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| ISBN
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9789811316722
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: 9789811316739
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: 9811316724
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: 9811316732
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9789811316715
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9811316716
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| Contents
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Intro; Preface; Contents; On a Hyperconvex Manifold Without Non-constant Bounded Holomorphic Functions; 1 Introduction; 2 Grauert Tube and Its Hyperconvexity; 3 Proofs of the Liouville Property; 4 Open Problems; References; CR-Geometry and Shearfree Lorentzian Geometry; 1 Subconformal and CR-Manifolds; 2 Shearfree Congruences; 3 Shearfree Congruences and Their Orbit Spaces; 4 Applications of Shearfree Congruences in Dimension 4; References; Complex Surfaces with Many Holomorphic Automorphisms; 1 Automorphisms of Complex-Euclidean Space; 2 Density Property; 3 Quasi-Homogeneous Surfaces.
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2 Bochner-Kodaira Estimate with Approximation3 Sketch of Proof of the Extension Theorem; 4 Applications of the Ohsawa-Takegoshi Extension Theorem; 4.1 Approximation of Plurisubharmonic Functions and of Closed (1,1)-Currents; 4.2 Invariance of Plurigenera; 4.3 Semicontinuity of Log Singularity Exponents; 4.4 Proof of the Suita Conjecture; References; Group Actions in Several Complex Variables: A Survey; 1 Automorphism Groups of Special Invariant Domains; 2 Rigidity of Automorphism Groups of Certain Invariant Domains; 3 Orbit Convexity.
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2 Prelimiaries2.1 The Kähler-Einstein Metric on a Strongly Pseudoconvex Domain; 2.2 Horizontal Lifts and Geodesic Curvatures; 3 The Geodesic Curvature of the Real (1,1)-Form Defined by a Defining Function; 4 Variation of Bounded Strongly Pseudoconvex Domains; 5 Variation of Bounded Pseudoconvex Domains; 5.1 Kähler-Einstein Metric on a Bounded Pseudoconvex Domain; 5.2 Plurisubharmonicity of the Variation; 6 Local Trivility; References; Extension of Holomorphic Functions and Cohomology Classes from Non Reduced Analytic Subvarieties; 1 Introduction and Main Results.
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4 Open QuestionsReferences; Fatou Components for Conservative Holomorphic Surface Automorphisms; 1 Introduction; 2 Fatou Set of a Conservative Hénon Map; 3 Rotation Domains; 4 Reinhardt Domains; 5 Existence of Rotation Domains; 6 Nonexistence of Rotation Domains; 7 Computer Pictures: The Ushiki Approach; 8 Herman Rings for Dissipative Maps?; 9 Rational Surface Automorphisms Preserving a 2-Form; References; A Twistor Transform for the Kobayashi Metric on a Convex Domain; 1 Introduction; 2 Kobayashi Disks; 3 Statement of Results; 4 The Standard Model; 4.1 The Space X; 4.2 The Tangent Space TxX.
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| Abstract
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The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.--
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| Subject
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Geometric analysis, Congresses.
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Algebraic geometry.
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Complex analysis, complex variables.
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Differential Riemannian geometry.
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Geometric analysis.
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MATHEMATICS-- Geometry-- General.
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Several Complex Variables and Analytic Spaces.
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Algebraic Geometry.
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Differential Geometry.
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| Dewey Classification
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516
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| LC Classification
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QA377
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| Added Entry
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Byun, Jisoo
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Cho, Hong Rae
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Kim, Kang-Tae,1957-
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Kim, Sung Yeon
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Lee, Kang-Hyurk
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Park, Jong-Do
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