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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