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

D'Angelo, John P.

ISBN 10: 0367402483 / ISBN 13: 9780367402488

Published by CRC Press, 2019

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Bibliographic Details

• Title: Several Complex Variables and the Geometry of Real Hypersurfaces (Studies in Advanced Mathematics)
• Publisher: CRC Press
• Publication Date: 2019
• Language: English
• ISBN 10: 0367402483
• ISBN 13: 9780367402488
• Binding: Soft cover
• Condition: New

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

John D'Angelo University of Illinois, USA.