Several Complex Variables and the Geometry of Real Hypersurfaces by John P D'angelo

Several Complex Variables and the Geometry of Real Hypersurfaces by John P D'angelo

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Summary

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. 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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Several Complex Variables and the Geometry of Real Hypersurfaces by John P D'angelo

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.
John D'Angelo University of Illinois, USA.
SKU Unavailable
ISBN 13 9780367402488
ISBN 10 0367402483
Title Several Complex Variables and the Geometry of Real Hypersurfaces
Author John P D'angelo
Series Studies In Advanced Mathematics
Condition Unavailable
Binding Type Paperback
Publisher CRC Press
Year published 2019-09-05
Number of pages 288
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.