Several Complex Variables and the Geometry of Real Hypersurfaces (Studies in Advanced Mathematics) - Hardcover

D'Angelo, John P.

Hardcover

ISBN 10: 0849382726 ISBN 13: 9780849382727

Publisher: Routledge, 1993

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 this title

About the Author

D'Angelo, John P.

Edition details

• Publisher: Routledge
• Publication date: 1993
• ISBN 10: 0849382726
• ISBN 13: 9780849382727
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 288