Geometric Complex Analysis

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.

Presents recent developments in complex analysis and geometry Contains contributions from world-renowned scholars in the field Covers important topics in the area

Inhalt
Adachi Masanori, On a hyperconvex manifold without non-constant bounded holomorphic functions.- Alekseevky Dmitri V., Ganji Masoud, Schmalz Gerd, CR-geometry and shearfree Lorentzian geometry.- Andrist Rafael B., Complex surfaces with many holomorphic automorphisms.- Bedford Eric, Fatou components for conservative holomorphic surface automorphisms.- Bland John, Burns Dan, Leung Kin-Kwan, A twistor transform for the Kobayashi metric on a convex domain.- Chen Bo-Yong, A degenerate Donnelly-Fefferman theorem and its applications.- Choi Young-Jun, Variation of K"{a}hler-Einstein metrics on pseudoconvex domains.- Demailly Jean-Pierre, Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties.- Deng Fusheng, Ning Jiafu, Zhang Huiping, Zhou Xiangyu, Group actions in several complex variables: A survey.- Dong Robert Xin, Boundary asymptotics of the relative Bergman kernel metric for elliptic curves IV: Taylor series.- Forstneric Franc, Holomorphic embeddings and immersions of Stein manifolds: a survey.- Hamano Sachiko, Variation of Schiffer and hyperbolic spans under pseudoconvexity.- Hiep Pham Hoang, A survey on the weighted log canonical threshold and the weighted multiplier ideal sheaf.- Huang Xiaojun, Xiao Ming, A CR Embedding Problem for an Algebraic Levi Non-degenerate Hypersurface into a Hyperquadric.- Hwang Jun-Muk, Recognizing $G/P$ by varieties of minimal rational tangents.- Joo Jae-Cheon, Semicontinuity theorems for Holomorphic and CR Automorphism groups.- Khoi Le Hai, On $\calN_p$-spaces in the ball, Matsumoto Yoshihiko, Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence.- Matsumura Shin-ichi, Variation of numerical dimension of singular hermitian line bundles.- Miebach Christian, Oeljeklaus Karl, Schottky group actions in Complex Geometry.-Mok Ngaiming, Some recent results on holomorphic isometries of the complex unit ball into bounded symmetric domains and related problems.- Nguyên Viêt-Anh, Ergodic theory for Riemann surface laminations: a surve.- Ohsawa Takeo, A report on pseudoconvexity properties of analytic families of $\mathbb{C}$-bundles and $\mathbb{D}$-bundles.- Patrizio Giorgio, Spiro Andrea, Regularity of Kobayashi metric.- Sun Lijie, A Note on Poincar'e's polyhedron theorem in complex hyperbolic space.