Complex Analysis of Several Variables, Volume 41Yum-Tong Siu Presents a collection of papers from the Symposium on Several Complex Variables held April 12-15, 1983 in Madison, Wisconsin. This book contains a selection of the presented papers as well as some contributed papers. |
Contents
| 1 | |
Polynomial interpolation for entire functions on Csupn | 9 |
The first and second Leviforms and CR extension | 25 |
Global regularity of the Neumann problem | 39 |
Intersection theory and the Neumann problem | 51 |
Boundary behavior of the Bergman metric | 59 |
Peak sets for AsupkD | 69 |
Stability of the Carathéodory and Kobayashi metrics and applications to biholomorphic mappings | 77 |
On the number of equations needed to describe a variety | 163 |
A survey of the theory of closed positive currents | 181 |
Special cycles harmonic forms and invariant theory | 191 |
Analytic discs and the regularity of CR mappings of real submanifolds in Csupn | 199 |
Extensions of holomorphic vector bundles and coupled cohomology equations | 209 |
A class of compact complex manifolds with negative tangent bundles | 217 |
On umbilical hypersurfaces and uniformization of circular domains | 225 |
On certain Kähler manifolds which are qcomplete | 253 |
Function theory and geometry of real submanifolds of Csupn near a CR singularity | 95 |
The 8706Neumann kernel in the ball in Csupn | 117 |
A survey of the 8706Neumann problem | 137 |
Intrinsic metrics | 147 |
A survey on complete noncompact Kähler manifolds of positive curvature | 151 |
Geometry of tube domains | 277 |
A survey of KählerEinstein manifolds | 285 |
Criteria for rightleft equivalence and right equivalence of holomorphic functions with isolated critical points | 291 |
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1984 American Mathematical 6-Neumann problem algebraic analytic discs automorphism ball Bergman biholomorphic bisectional curvature boundary bounded Chern codimension coefficients compact Kähler manifold complete intersection complete Kähler complex manifold condition conjecture constant convex COROLLARY CR submanifolds defining function definition denote differential dimension equivalent exists extends foliation function f geodesic geometry given Hence Hermitian holomorphic functions holomorphic mappings hypersurface implies integral Kähler manifold Kähler metric kernel Lemma Levi form line bundle Math Mathematics Subject Classification Mathematics Volume 41 Monge-Ampère neighborhood noncompact nonnegative open set peak set plurisubharmonic function positive Princeton proof of Theorem Proposition proved pseudoconvex domains Pure Mathematics Volume q-positive real hypersurface real-analytic result Ricci curvature satisfies sectional curvature sequence smooth ſº Stein manifold strictly pseudoconvex subelliptic estimates subset Suppose tangent TCR equations theory topology vector field Y C X