Several Complex Variables and the Geometry of Real Hypersurfaces
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A01=John P. D'Angelo
advanced graduate mathematics
analytic continuation
Author_John P. D'Angelo
Bergman Projection
Biholomorphic Mapping
Category=PBK
Cauchy Integral Formula
Cauchy Riemann Equations
complex analysis
complex hypersurface geometry applications
complex manifolds
CR Manifold
CR Mapping
CR Structure
CR Submanifold
Defining Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Type
geometry
Hermitian Form
Holomorphic Curve
Holomorphic Extension
holomorphic functions
Holomorphic Mapping
Levi Form
Neumann boundary problem
Proper Holomorphic Mapping
Pseudoconvex Domains
pseudoconvexity theory
Rational Proper Mapping
Real Analytic Functions
Real Hypersurface
real hypersurfaces
Real Submanifold
Real Vector Field
several variable theory
Subelliptic Estimates
Vector Fields
Weierstrass Polynomial
Product details
- ISBN 9780367402488
- Weight: 408g
- Dimensions: 156 x 234mm
- Publication Date: 05 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
