Several Complex Variables and the Geometry of Real Hypersurfaces

Krantz, Steven G. (Series edited by)/ D'Angelo, John P. (Author)

ISBN 10: 0849382726 / ISBN 13: 9780849382727

Published by CRC Pr I Llc, 1992

About this Item

1st edition. 288 pages. 9.75x6.50x0.75 inches. In Stock.

Seller Inventory # x-0849382726

Bibliographic Details

• Title: Several Complex Variables and the Geometry of Real Hypersurfaces
• Publisher: CRC Pr I Llc
• Publication Date: 1992
• Language: English
• ISBN 10: 0849382726
• ISBN 13: 9780849382727
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.52 kilograms

About this title

Synopsis

Several Complex Variables and the Geometry of Real Hypersurfaces covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the ?-Neumann problem on pseudoconvex domains with a real analytic boundary. The book focuses on describing the geometry of a real hypersurface in a complex vector space by understanding its relationship with ambient complex analytic varieties. You will learn how to decide whether a real hypersurface contains complex varieties, how closely such varieties can contact the hypersurface, and why it's important. The book concludes with two sets of problems: routine problems and difficult problems (many of which are unsolved). Principal prerequisites for using this book include a thorough understanding of advanced calculus and standard knowledge of complex analysis in one variable. Several Complex Variables and the Geometry of Real Hypersurfaces will be a useful text for advanced graduate students and professionals working in complex analysis.

About the Author

D'Angelo, John P.