Buch, Englisch, 288 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 408 g
Buch, Englisch, 288 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 408 g
Reihe: Studies in Advanced Mathematics
ISBN: 978-0-367-40248-8
Verlag: CRC Press
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.
Zielgruppe
Professional
Autoren/Hrsg.
Weitere Infos & Material
Holomorphic Functions and Mappings. Holomorphic Mappings and Local Algebra. Geometry of Real Hypersurfaces. Points of Finite Type. Proper Mappings between Balls. Geometry of the ?-Neumann Problem. Analysis on Finite Type Domains. Bibliography. Exercises. Index of Notation. Index.
