Several Complex Variables and the Geometry of Real Hypersurfaces
Title | Several Complex Variables and the Geometry of Real Hypersurfaces PDF eBook |
Author | John P. D'Angelo |
Publisher | Routledge |
Pages | 319 |
Release | 2019-07-16 |
Genre | Mathematics |
ISBN | 1351416715 |
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.
Several Complex Variables and Complex Geometry, Part I
Title | Several Complex Variables and Complex Geometry, Part I PDF eBook |
Author | Eric Bedford |
Publisher | American Mathematical Soc. |
Pages | 280 |
Release | 1991 |
Genre | Mathematics |
ISBN | 0821814893 |
Several Complex Variables and the Geometry of Real Hypersurfaces
Title | Several Complex Variables and the Geometry of Real Hypersurfaces PDF eBook |
Author | John P. D'Angelo |
Publisher | Routledge |
Pages | 287 |
Release | 2019-07-16 |
Genre | Mathematics |
ISBN | 1351416723 |
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.
Several Complex Variables III
Title | Several Complex Variables III PDF eBook |
Author | G.M. Khenkin |
Publisher | Springer Science & Business Media |
Pages | 265 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 364261308X |
We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space
Complex Analysis and Geometry
Title | Complex Analysis and Geometry PDF eBook |
Author | Vincenzo Ancona |
Publisher | CRC Press |
Pages | 580 |
Release | 1995-09-27 |
Genre | Mathematics |
ISBN | 9780824796723 |
Based on a conference held in Trento, Italy, and sponsored by the Centro Internazionale per la Ricera Matematica, this work presents advances in several complex variables and related topics such as transcendental algebraic geometry, infinite dimensional supermanifolds, and foliations. It covers the unfoldings of singularities, Levi foliations, Cauchy-Reimann manifolds, infinite dimensional supermanifolds, conformal structures, algebraic groups, instantons and more.
Several complex variables and complex geometry, Part I
Title | Several complex variables and complex geometry, Part I PDF eBook |
Author | E. Bedford Steven George Krantz D'Angelo |
Publisher | American Mathematical Soc. |
Pages | 292 |
Release | |
Genre | |
ISBN | 9780821868188 |
Several Complex Variables
Title | Several Complex Variables PDF eBook |
Author | KOHN |
Publisher | Springer Science & Business Media |
Pages | 263 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461252962 |
In recent years there has been increasing interaction among various branches of mathematics. This is especially evident in the theory of several complex variables where fruitful interplays of the methods of algebraic geometry, differential geometry, and partial differential equations have led to unexpected insights and new directions of research. In China there has been a long tradition of study in complex analysis, differential geometry and differential equations as interrelated subjects due to the influence of Professors S. S. Chern and L. K. Hua. After a long period of isolation, in recent years there is a resurgence of scientific activity and a resumption of scientific exchange with other countries. The Hangzhou conference is the first international conference in several complex variables held in China. It offered a good opportunity for mathematicians from China, U.S., Germany, Japan, Canada, and France to meet and to discuss their work. The papers presented in the conference encompass all major aspects of several complex variables, in particular, in such areas as complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity. Most of the participants wrote up their talks for these proceedings. Some of the papers are surveys and the others present original results. This volume constitutes an overview of the current trends of research in several complex variables.