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

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.

• | Author: John P. D'Angelo
• | Publisher: Routledge
• | Publication Date: Sep 05, 2019
• | Number of Pages: 288 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 0367402483
• | ISBN-13: 9780367402488