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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

by John P. D'Angelo
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Book cover type: Hardcover
  • ISBN13: 9780849382727
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: CRC Press
  • Publisher Imprint: CRC Press
  • Publication Date:
  • Pages: 288
  • Original Price: USD 375.0
  • Language: English
  • Edition: 1
  • Item Weight: 422 grams
  • BISAC Subject(s): Calculus

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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