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Hardcover ISBN:  9780821814468 
Product Code:  PSPUM/41 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893333 
Product Code:  PSPUM/41.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821814468 
eBook ISBN:  9780821893333 
Product Code:  PSPUM/41.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

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 ]