Several Complex Variables And The Geometry Of Real Hypersurfaces
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Author | : John P. D'Angelo |
Publisher | : Routledge |
Total Pages | : 319 |
Release | : 2019-07-16 |
Genre | : Mathematics |
ISBN | : 1351416715 |
Download Several Complex Variables and the Geometry of Real Hypersurfaces Book in PDF, Epub and Kindle
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.
Author | : Eric Bedford |
Publisher | : American Mathematical Soc. |
Total Pages | : 280 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 0821814893 |
Download Several Complex Variables and Complex Geometry, Part I Book in PDF, Epub and Kindle
Author | : John P. D'Angelo |
Publisher | : Routledge |
Total Pages | : 287 |
Release | : 2019-07-16 |
Genre | : Mathematics |
ISBN | : 1351416723 |
Download Several Complex Variables and the Geometry of Real Hypersurfaces Book in PDF, Epub and Kindle
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.
Author | : G.M. Khenkin |
Publisher | : Springer Science & Business Media |
Total Pages | : 265 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 364261308X |
Download Several Complex Variables III Book in PDF, Epub and Kindle
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
Author | : Vincenzo Ancona |
Publisher | : CRC Press |
Total Pages | : 580 |
Release | : 1995-09-27 |
Genre | : Mathematics |
ISBN | : 9780824796723 |
Download Complex Analysis and Geometry Book in PDF, Epub and Kindle
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.
Author | : E. Bedford Steven George Krantz D'Angelo |
Publisher | : American Mathematical Soc. |
Total Pages | : 292 |
Release | : |
Genre | : |
ISBN | : 9780821868188 |
Download Several complex variables and complex geometry, Part I Book in PDF, Epub and Kindle
Author | : Michael Schneider |
Publisher | : Cambridge University Press |
Total Pages | : 582 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780521770866 |
Download Several Complex Variables Book in PDF, Epub and Kindle
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.
Author | : So-chin Chen |
Publisher | : American Mathematical Soc. |
Total Pages | : 396 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9780821829615 |
Download Partial Differential Equations in Several Complex Variables Book in PDF, Epub and Kindle
This book is intended as both an introductory text and a reference book for those interested in studying several complex variables in the context of partial differential equations. In the last few decades, significant progress has been made in the study of Cauchy-Riemann and tangential Cauchy-Riemann operators; this progress greatly influenced the development of PDEs and several complex variables. After the background material in complex analysis is developed in Chapters 1 to 3, thenext three chapters are devoted to the solvability and regularity of the Cauchy-Riemann equations using Hilbert space techniques. The authors provide a systematic study of the Cauchy-Riemann equations and the \bar\partial-Neumann problem, including Hórmander's L2 existence progress on the globalregularity and irregularity of the \bar\partial-Neumann operators. The second part of the book gives a comprehensive study of the tangential Cauchy-Riemann equations, another important class of equations in several complex variables first studied by Lewy. An up-to-date account of the L2 theory for \bar\partial b operator is given. Explicit integral solution representations are constructed both on the Heisenberg groups and on strictly convex boundaries with estimates in Hölder and L2spaces. Embeddability of abstract CR structures is discussed in detail here for the first time.Titles in this series are co-published with International Press, Cambridge, MA.
Author | : Eric Bedford |
Publisher | : American Mathematical Soc. |
Total Pages | : 386 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 0821814915 |
Download Several Complex Variables and Complex Geometry, Part III Book in PDF, Epub and Kindle
Author | : Shiferaw Berhanu |
Publisher | : American Mathematical Soc. |
Total Pages | : 194 |
Release | : 2017-01-17 |
Genre | : Mathematics |
ISBN | : 1470422557 |
Download Analysis and Geometry in Several Complex Variables Book in PDF, Epub and Kindle
This volume contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4–8, 2015, at Texas A&M University at Qatar, Doha, Qatar. This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas. Papers feature original research on diverse topics such as the rigidity of CR mappings, normal forms in CR geometry, the d-bar Neumann operator, asymptotic expansion of the Bergman kernel, and hypoellipticity of complex vector fields. Also included are two survey articles on complex Brunn-Minkowski theory and the regularity of systems of complex vector fields and their associated Laplacians.