Presents recent developments in complex analysis and geometry

Contains contributions from world-renowned scholars in the field

Covers important topics in the area

¿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.