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Several Complex Variables and the Geometry of Real Hypersurfaces, Paperback / softback Book

Several Complex Variables and the Geometry of Real Hypersurfaces Paperback / softback

Part of the Studies in Advanced Mathematics series

Paperback / softback

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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