Geometric Complex Analysis

Chapter 1 On a Hyperconvex Manifold Without Non-constant Bounded Holomorphic Functions

Chapter 2 CR-Geometry and Shearfree Lorentzian Geometry

Chapter 3 Complex Surfaces with Many Holomorphic Automorphisms

Chapter 4 Fatou Components for Conservative Holomorphic Surface Automorphisms

Chapter 5 A Twistor Transform for the Kobayashi Metric on a Convex Domain

Chapter 6 A Degenerate Donnelly–Fefferman Theorem and its Applications

Chapter 7 Variation of Kähler-Einstein Metrics on Pseudoconvex Domains

Chapter 8 Extension of Holomorphic Functions and Cohomology Classes from Non Reduced Analytic Subvarieties

Chapter 9 Group Actions in Several Complex Variables: A Survey

Chapter 10 Boundary Asymptotics of the Relative Bergman Kernel Metric for Elliptic Curves IV: Taylor Series

Chapter 11 Holomorphic Embeddings and Immersions of Stein Manifolds: A Survey

Chapter 12 Variation of Schiffer and Hyperbolic Spans Under Pseudoconvexity

Chapter 13 A Survey on the Weighted Log Canonical Threshold and the Weighted Multiplier Ideal Sheaf

Chapter 14 A CR Embedding Problem for an Algebraic Levi Non-degenerate Hypersurface into a Hyperquadric

Chapter 15 Recognizing G  /  P by Varieties of Minimal Rational Tangents

Chapter 16 Semicontinuity Theorems for Holomorphic and CR Automorphism Groups

Chapter 17 On $${\mathcal N}_p$$ N p -Spaces in the Ball

Chapter 18 Einstein Metrics on Strictly Pseudoconvex Domains from the Viewpoint of Bulk-Boundary Correspondence

Chapter 19 Variation of Numerical Dimension of Singular Hermitian Line Bundles

Chapter 21 Some Recent Results on Holomorphic Isometries of the Complex Unit Ball into Bounded Symmetric Domains and Related Problems

Chapter 22 Ergodic Theory for Riemann Surface Laminations: A Survey

Chapter 23 A Report on Pseudoconvexity Properties of Analytic Families of $$\mathbb {C}$$ C -Bundles and $$\mathbb {D}$$ D -Bundles

Chapter 24 Regularity of Kobayashi Metric

Chapter 25 A Note on Poincaré’s Polyhedron Theorem in Complex Hyperbolic Space