Several Complex Variables and the Geometry of Real Hypersurfaces (Studies in Advanced Mathematics)

D'Angelo, John P.

ISBN 10: 0367402483 ISBN 13: 9780367402488

Published by CRC Press, 2019

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Several Complex Variables and the Geometry of Real Hypersurfaces (Studies in Advanced Mathematics)

Publisher

CRC Press

Publication Date

2019

Language

English

ISBN 10

0367402483

ISBN 13

9780367402488

Binding

Soft cover

Condition

New

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About this title

Synopsis

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.

About the Author

John D'Angelo University of Illinois, USA.

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