چند متغیره‌های پیچیده و هندسه پیچیده

'Proceedings of the Summer Research Institute on Several Complex Variables and Complex Geometry, held at the University of California, Santa Cruz, Santa Cruz, California, July 10-30, 1989'--title page verso. 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 This three-volume set contains the proceedings of the Summer Research Institute on Several Complex Variables and Complex Geometry, held at the University of California at Santa Cruz in July 1989. The institute explored developments in the geometry and function theory of several complex variables.