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Cover Art
Author D'Angelo, John P.

Title Several complex variables and the geometry of real hypersurfaces / John P. D'Angelo.

Published Boca Raton : CRC Press, [1993]


Location Call No. Status
 UniM ERC  515.942 DANG    AVAILABLE
Physical description xiii, 272 pages ; 24 cm.
Series Studies in advanced mathematics.
Studies in advanced mathematics.
Bibliography Includes bibliographical references (pages 265-270) and index.
Summary 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.
Subject Functions of several complex variables.
ISBN 0849382726 (acid-free paper)