Several Complex Variables And Complex Manifolds

Author : Mike Field
Publisher : Cambridge University Press
Page : 224 pages
File Size : 54,8 Mb
Release : 1982
Category : Complex manifolds
ISBN : 0521288886

Get Book

Several Complex Variables and Complex Manifolds by Mike Field Pdf

Annotation This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.

Author : Eric Bedford
Publisher : American Mathematical Soc.
Page : 368 pages
File Size : 50,8 Mb
Release : 1991
Category : Mathematics
ISBN : 9780821814918

Get Book

Several Complex Variables and Complex Geometry, Part III by Eric Bedford Pdf

Author : Mike Field
Publisher : Cambridge University Press
Page : 209 pages
File Size : 44,7 Mb
Release : 1982-04
Category : Mathematics
ISBN : 9780521283014

Get Book

Several Complex Variables and Complex Manifolds I by Mike Field Pdf

This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

Author : H. Grauert,Thomas Peternell,R. Remmert
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 40,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662098738

Get Book

Several Complex Variables VII by H. Grauert,Thomas Peternell,R. Remmert Pdf

The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.

Author : H. Grauert,K. Fritzsche
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461298748

Get Book

Several Complex Variables by H. Grauert,K. Fritzsche Pdf

The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real methods which stem from elliptic partial differential equations. In the first chapter we begin with the definition of holomorphic functions of several variables, their representation by the Cauchy integral, and their power series expansion on Reinhardt domains. It turns out that, in l:ontrast ~ 2 there exist domains G, G c en to the theory of a single variable, for n with G c G and G "# G such that each function holomorphic in G has a continuation on G. Domains G for which such a G does not exist are called domains of holomorphy. In Chapter 2 we give several characterizations of these domains of holomorphy (theorem of Cartan-Thullen, Levi's problem). We finally construct the holomorphic hull H(G} for each domain G, that is the largest (not necessarily schlicht) domain over en into which each function holomorphic on G can be continued.

Author : Klaus Fritzsche,Hans Grauert
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468492736

Get Book

From Holomorphic Functions to Complex Manifolds by Klaus Fritzsche,Hans Grauert Pdf

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Author : Semen G. Gindikin,Gennadij M. Khenkin
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642612633

Get Book

Several Complex Variables IV by Semen G. Gindikin,Gennadij M. Khenkin Pdf

This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.

Author : Reinhold Remmert,Wolf Barth
Publisher : Unknown
Page : 328 pages
File Size : 40,6 Mb
Release : 1990
Category : Complex manifolds
ISBN : UOM:39015019656860

Get Book

Several Complex Variables VI by Reinhold Remmert,Wolf Barth Pdf

Author : Steven Bell,J.-L. Brylinski,A.T. Huckleberry,R. Narasimhan,C. Okonek,Georg Schumacher,A. Van de Ven,S. Zucker
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 52,8 Mb
Release : 1997-12-11
Category : Mathematics
ISBN : 3540629955

Get Book

Complex Manifolds by Steven Bell,J.-L. Brylinski,A.T. Huckleberry,R. Narasimhan,C. Okonek,Georg Schumacher,A. Van de Ven,S. Zucker Pdf

The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990. They are surveys, meant to facilitate access to some of the many aspects of the theory of complex manifolds, and demonstrate the interplay between complex analysis and many other branches of mathematics, algebraic geometry, differential topology, representations of Lie groups, and mathematical physics being only the most obvious of these branches. Each of these articles should serve not only to describe the particular circle of ideas in complex analysis with which it deals but also as a guide to the many mathematical ideas related to its theme.

Author : Mike Field
Publisher : Unknown
Page : 211 pages
File Size : 52,7 Mb
Release : 1982
Category : Manifolds (Mathematics)
ISBN : OCLC:122700281

Get Book

Several Complex Variables and Complex Manifolds II by Mike Field Pdf

Author : Raymond O'Neil Wells,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 328 pages
File Size : 43,8 Mb
Release : 1977
Category : Mathematics
ISBN : 9780821802502

Get Book

Several Complex Variables by Raymond O'Neil Wells,American Mathematical Society Pdf

Contains sections on Noncompact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, Survey papers.

Author : Fangyang Zheng
Publisher : American Mathematical Soc.
Page : 275 pages
File Size : 50,7 Mb
Release : 2000
Category : Complex manifolds
ISBN : 9780821829608

Get Book

Complex Differential Geometry by Fangyang Zheng Pdf

Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.

Author : Wolfgang Ebeling
Publisher : American Mathematical Soc.
Page : 334 pages
File Size : 41,6 Mb
Release : 2007
Category : Functions of several complex variables
ISBN : 9780821833193

Get Book

Functions of Several Complex Variables and Their Singularities by Wolfgang Ebeling Pdf

The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.

Author : Mike Field
Publisher : Unknown
Page : 211 pages
File Size : 47,9 Mb
Release : 1982
Category : Electronic
ISBN : LCCN:81021590

Get Book

Several Complex Variables and Complex Manifolds by Mike Field Pdf

Author : Michael Schneider,Yum-Tong Siu
Publisher : Cambridge University Press
Page : 582 pages
File Size : 48,8 Mb
Release : 1999
Category : Mathematics
ISBN : 0521770866

Get Book

Several Complex Variables by Michael Schneider,Yum-Tong Siu Pdf

Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.