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Complex Analysis of Several Variables

Edited by: Yum-Tong Siu
Available Formats:
Hardcover ISBN: 978-0-8218-1446-8
Product Code: PSPUM/41
List Price: $97.00 MAA Member Price:$87.30
AMS Member Price: $77.60 Electronic ISBN: 978-0-8218-9333-3 Product Code: PSPUM/41.E List Price:$91.00
MAA Member Price: $81.90 AMS Member Price:$72.80
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List Price: $145.50 MAA Member Price:$130.95
AMS Member Price: $116.40 Click above image for expanded view Complex Analysis of Several Variables Edited by: Yum-Tong Siu Available Formats:  Hardcover ISBN: 978-0-8218-1446-8 Product Code: PSPUM/41  List Price:$97.00 MAA Member Price: $87.30 AMS Member Price:$77.60
 Electronic ISBN: 978-0-8218-9333-3 Product Code: PSPUM/41.E
 List Price: $91.00 MAA Member Price:$81.90 AMS Member Price: $72.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$145.50 MAA Member Price: $130.95 AMS Member Price:$116.40
• Book Details

Proceedings of Symposia in Pure Mathematics
Volume: 411984; 297 pp
MSC: 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 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.

• 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 C-R 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 ]
• Pit-Mann 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 ]
• Shing-Tung Yau - A survey on Kähler-Einstein metrics [ MR 740889 ]
• Stephen S.-T. Yau - Criteria for right-left equivalence and right equivalence of holomorphic functions with isolated critical points [ MR 740890 ]
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Volume: 411984; 297 pp
MSC: 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 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.

• 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 C-R 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 ]
• Pit-Mann 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 ]
• Shing-Tung Yau - A survey on Kähler-Einstein metrics [ MR 740889 ]
• Stephen S.-T. Yau - Criteria for right-left equivalence and right equivalence of holomorphic functions with isolated critical points [ MR 740890 ]
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