Several Complex Variables and the Geometry of Real Hypersurfaces PDF
by John P. D'Angelo
Part of the Studies in Advanced Mathematics series
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Description
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.
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- Format:PDF
- Pages:288 pages
- Publisher:CRC Press
- Publication Date:16/07/2019
- Category:
- ISBN:9781351416726
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Information
-
Download Now
- Format:PDF
- Pages:288 pages
- Publisher:CRC Press
- Publication Date:16/07/2019
- Category:
- ISBN:9781351416726