**Proceedings of Symposia in Pure Mathematics**

Volume: 41;
1984;
297 pp;
Hardcover

MSC: Primary 32;

**Print ISBN: 978-0-8218-1446-8
Product Code: PSPUM/41**

List Price: $97.00

AMS Member Price: $77.60

MAA Member Price: $87.30

**Electronic ISBN: 978-0-8218-9333-3
Product Code: PSPUM/41.E**

List Price: $91.00

AMS Member Price: $72.80

MAA Member Price: $81.90

# Complex Analysis of Several Variables

Share this page *Edited by *
*Yum-Tong Siu*

These proceedings are a collection of papers from the Symposium on Several Complex Variables held April 12–15, 1983 in Madison, Wisconsin. At the symposium, H. Grauert, J. J. Kohn, M. Schneider, H. Skoda and S. T. Yau delivered one-hour survey talks addressing major areas of important recent developments; in addition, over forty papers were presented as specialized half-hour talks. The book contains a selection of the presented papers as well as some contributed papers.

#### Readership

# Table of Contents

## Complex Analysis of Several Variables

- Table of Contents iv5 free
- Preface vi7 free
- The Organizing Committee viii9 free
- List of Speakers viii9
- List of Participants x11 free
- Local boundary behavior of proper holomorphic mappings 115 free
- Polynomial interpolation for entire functions on C[sup(n)] 923
- The first and second Leviforms and CR extension 2539
- Global regularity of the ∂-Neumann problem 3953
- Intersection theory and the ∂-Neumann problem 5165
- Boundary behavior of the Bergman metric 5973
- Peak sets for A[sup(k)](D) 6983
- Stability of the Carathéodory and Kobayashi metrics and applications to biholomorphic mappings 7791
- Function theory and geometry of real submanifolds of C[sup(n)] near a CR singularity 95109
- The ∂-Neumann kernel in the ball in C[sup(n)] 117131
- A survey of the ∂-Neumann problem 137151
- Intrinsic metrics 147161
- A survey on complete noncompact Kähler manifolds of positive curvature 151165
- On the number of equations needed to describe a variety 163177
- A survey of the theory of closed, positive currents 181195
- Special cycles, harmonic forms and invariant theory 191205
- Analytic discs and the regularity of C-R mappings of real submanifolds in C[sup(n)] 199213
- Extensions of holomorphic vector bundles and coupled cohomology equations 209223
- A class of compact complex manifolds with negative tangent bundles 217231
- On umbilical hypersurfaces and uniformization of circular domains 225239
- On certain Kähler manifolds which are q-complete 253267
- Geometry of tube domains 277291
- A survey of Kähler-Einstein manifolds 285299
- Criteria for right-left equivalence and right equivalence of holomorphic functions with isolated critical points 291305