Several Complex Variables and the Geometry of Real Hypersurfaces (Studies in Advanced Mathematics)
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Book Overview
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.
Format:Paperback
Language:English
ISBN:0367402483
ISBN13:9780367402488
Release Date:September 2019
Publisher:Routledge
Length:288 Pages
Weight:0.90 lbs.
Dimensions:0.8" x 6.1" x 9.1"
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