Several complex variables and complex geometry,

Front Cover......Page 1
Title......Page 2
Copyright......Page 3
Contents of Part I......Page 6
Contents of Part II......Page 7
Contents of Part III......Page 11
The Geometry of Complex Manifolds: An Overview ......Page 18
Angular Derivatives in Strongly Pseudoconvex Domains ......Page 40
Degeneracy Points of the Kobayashi Pseudodistances on Complex Manifolds ......Page 58
On the Construction of the Moduli Space for Strongly Pseudoconvex Domains ......Page 70
Qn the Holomorphic Sectional Curvature of Complete Domains in C^n that are not Stein ......Page 76
Normal Forms for Convex Domains ......Page 82
Homogeneous Vector Bundles and Families of Calabi-Yau Threefolds. ......Page 100
Holomorphic Morse Inequalities ......Page 110
Some Problems ......Page 132
Invariants of CR Densities ......Page 134
Convex Symplectic Manifolds ......Page 152
Simple Partial Connections and the Einstein Condition ......Page 180
Applications of Affine Geometry to Geometric Function Theory in Several Complex Variables Part I. Convergent Rescalings and Intrinsic Quasi-Isometric Structure ......Page 200
Lie Algebra Character and Kihler-Einstein Metrics of Positive Scalar Curvature ......Page 226
On the Ends of Complex Manifolds Homogeneous Under a Lie Group ......Page 234
Determinant Line Bundles for 1-lermitian Foliations and a Generalized Quillen Metric ......Page 242
Sharp Constants for the Koebe Theorem and for Estimates of Intrinsic Metrics on Convex Domains ......Page 250
Rigid Immersions of G-Structures and Analyticity of CR Mappings into Spheres ......Page 256
Optimal Analytic Disks ......Page 268
Some Remarks on the Product Property for Invariant Pseudometrics ......Page 280
Smoothing of Currents and Moisezon Manifolds ......Page 290
Biholomorphic Mappings Between Quasicircular Domains iii C^n ......Page 300
Characterizations of Certain Weakly Pseudoconvex Domains in C^n from the Viewpoint of Biholomorphic Automorphism Groups ......Page 308
Complete Ricci-Flat Kaeler Metrics on C^n Need Not Be Flat ......Page 314
On Meromorphic Maps into Varieties of Log-General Type ......Page 322
Aspects of Kahler Geometry on Arithmetic Varieties ......Page 352
Moduli Spaces of Holomorphic Mappings into Hyperbolic SiSaces and its Applications ......Page 414
The Analytic Radon Transform ......Page 420
Applications of the Technique in Hodge Theory on Complete Kaehler Manifolds ......Page 430
Bounds on the Derivatives of Holomorphic Endomorphisms ......Page 444
Functions with Large Center ......Page 452
A Characterization of Affine Varieties ......Page 466
Compactilications of A Survey ......Page 472
An Infinite-Dimensional Point of View on the Weil-Petersson.Metric ......Page 484
The Cartan Conjecture for Moving Targets ......Page 494
On Kollar's Conjecture ......Page 526
An Introduction to L^2-Cohomology ......Page 536
On the Compactification Problems for Stein 3-Folds ......Page 552
On One of Calabi's Problems ......Page 560
Multi-Dimensional Analytic Structures Algebras ......Page 574
The on Complex Spaces ......Page 580
Fixed Points of Holomorphic Mappings in a Bounded Convex Domain ......Page 596
Holomorphic Functions Taking Their Values in a q-Spacc and the Cauchy-Formula ......Page 600
Schwarz's Lemma and Hermitian Manifolds with Constant Holomorphic Curvature ......Page 610
Polynomial Functions on Complete Kaehler Manifolds ......Page 618
The Chern Numbers of Projective Algebraic Hypersurfaces ......Page 628
A Review of Complex Differential Geometry ......Page 636