Several Complex Variables and the Geometry of Real Hypersurfaces

di John P. D'Angelo (Autore)

Taylor & Francis Inc, 1993

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.

• Autore: John P. D'Angelo
• Editore: Taylor & Francis Inc
• Collana: Studies in Advanced Mathematics
• Anno: 1993
• Rilegatura: Hardback
• Pagine: 288 p.
• Dimensioni: 234 x 156 mm
• Peso: 544 gr.
• EAN: 9780849382727

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