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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 41; 1984; 297 ppMSC: Primary 32;
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 onehour survey talks addressing major areas of important recent developments; in addition, over forty papers were presented as specialized halfhour talks. The book contains a selection of the presented papers as well as some contributed papers.
Readership 
Table of Contents

Articles

Steve Bell  Local boundary behavior of proper holomorphic mappings [ MR 740867 ]

Thomas Bloom  Polynomial interpolation for entire functions on $\mathbf {C}^{n}$ [ MR 740868 ]

A. Boggess  The first and second Leviforms and CR extension [ MR 740869 ]

David W. Catlin  Global regularity of the $\bar \partial $Neumann problem [ MR 740870 ]

John D’Angelo  Intersection theory and the $\bar \partial $Neumann problem [ MR 740871 ]

K. Diederich, J. E. Fornæss and G. Herbort  Boundary behavior of the Bergman metric [ MR 740872 ]

John Erik Fornæss and Berit Stensønes Henriksen  Peak sets for $A^{k}(D)$ [ MR 740873 ]

Robert E. Greene and Steven G. Krantz  Stability of the Carathéodory and Kobayashi metrics and applications to biholomorphic mappings [ MR 740874 ]

Gary A. Harris  Function theory and geometry of real submanifolds of $\mathbf {C}^{n}$ near a CR singularity [ MR 740875 ]

F. R. Harvey and J. C. Polking  The $\bar \partial $Neumann kernel in the ball in $\mathbf {C}^{n}$ [ MR 740876 ]

J. J. Kohn  A survey of the $\bar \partial $Neumann problem [ MR 740877 ]

László Lempert  Intrinsic metrics [ MR 740878 ]

Ngaiming Mok  A survey on complete noncompact Kähler manifolds of positive curvature [ MR 740879 ]

Michael Schneider  On the number of equations needed to describe a variety [ MR 740880 ]

H. Skoda  A survey of the theory of closed, positive currents [ MR 740881 ]

Yue Lin Tong  Special cycles, harmonic forms and invariant theory [ MR 740882 ]

S. M. Webster  Analytic discs and the regularity of CR mappings of real submanifolds in $\mathbf {C}^{n}$ [ MR 740883 ]

R. O. Wells, Jr.  Extensions of holomorphic vector bundles and coupled cohomology equations [ MR 740884 ]

B. Wong  A class of compact complex manifolds with negative tangent bundles [ MR 740885 ]

PitMann Wong  On umbilical hypersurfaces and uniformization of circular domains [ MR 740886 ]

H. Wu  On certain Kähler manifolds which are $q$complete [ MR 740887 ]

P. C. Yang  Geometry of tube domains [ MR 740888 ]

ShingTung Yau  A survey on KählerEinstein metrics [ MR 740889 ]

Stephen S.T. Yau  Criteria for rightleft equivalence and right equivalence of holomorphic functions with isolated critical points [ MR 740890 ]


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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 onehour survey talks addressing major areas of important recent developments; in addition, over forty papers were presented as specialized halfhour talks. The book contains a selection of the presented papers as well as some contributed papers.

Articles

Steve Bell  Local boundary behavior of proper holomorphic mappings [ MR 740867 ]

Thomas Bloom  Polynomial interpolation for entire functions on $\mathbf {C}^{n}$ [ MR 740868 ]

A. Boggess  The first and second Leviforms and CR extension [ MR 740869 ]

David W. Catlin  Global regularity of the $\bar \partial $Neumann problem [ MR 740870 ]

John D’Angelo  Intersection theory and the $\bar \partial $Neumann problem [ MR 740871 ]

K. Diederich, J. E. Fornæss and G. Herbort  Boundary behavior of the Bergman metric [ MR 740872 ]

John Erik Fornæss and Berit Stensønes Henriksen  Peak sets for $A^{k}(D)$ [ MR 740873 ]

Robert E. Greene and Steven G. Krantz  Stability of the Carathéodory and Kobayashi metrics and applications to biholomorphic mappings [ MR 740874 ]

Gary A. Harris  Function theory and geometry of real submanifolds of $\mathbf {C}^{n}$ near a CR singularity [ MR 740875 ]

F. R. Harvey and J. C. Polking  The $\bar \partial $Neumann kernel in the ball in $\mathbf {C}^{n}$ [ MR 740876 ]

J. J. Kohn  A survey of the $\bar \partial $Neumann problem [ MR 740877 ]

László Lempert  Intrinsic metrics [ MR 740878 ]

Ngaiming Mok  A survey on complete noncompact Kähler manifolds of positive curvature [ MR 740879 ]

Michael Schneider  On the number of equations needed to describe a variety [ MR 740880 ]

H. Skoda  A survey of the theory of closed, positive currents [ MR 740881 ]

Yue Lin Tong  Special cycles, harmonic forms and invariant theory [ MR 740882 ]

S. M. Webster  Analytic discs and the regularity of CR mappings of real submanifolds in $\mathbf {C}^{n}$ [ MR 740883 ]

R. O. Wells, Jr.  Extensions of holomorphic vector bundles and coupled cohomology equations [ MR 740884 ]

B. Wong  A class of compact complex manifolds with negative tangent bundles [ MR 740885 ]

PitMann Wong  On umbilical hypersurfaces and uniformization of circular domains [ MR 740886 ]

H. Wu  On certain Kähler manifolds which are $q$complete [ MR 740887 ]

P. C. Yang  Geometry of tube domains [ MR 740888 ]

ShingTung Yau  A survey on KählerEinstein metrics [ MR 740889 ]

Stephen S.T. Yau  Criteria for rightleft equivalence and right equivalence of holomorphic functions with isolated critical points [ MR 740890 ]