| 书目名称 | From Holomorphic Functions to Complex Manifolds |
| 编辑 | Klaus Fritzsche,Hans Grauert |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | The aim of this book is to give an understandable introduction to the the ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. Therefore, the abstract concepts involved with sheaves, coherence, and higher-dimensional cohomology are avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional co cycles are used. Nevertheless, deep results can be proved, for example the Remmert-Stein theorem for analytic sets, finiteness theorems for spaces of cross sections in holomorphic vector bundles, and the solution of the Levi problem. The first chapter deals with holomorphic functions defined in open sub sets of the space en. Many of the well-known properties of holomorphic functions of one variable, such as the Cauchy integral formula or the maxi mum principle, can be applied directly to obtain corresponding properties of holomorphic functions of several variables. Furthermore, certain prope |
| 出版日期 | Textbook 2002 |
| 关键词 | Algebra; Cohomology; Complex Function Theory; Complex Manifolds; Complex analysis; Holomorphic Functions; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4684-9273-6 |
| isbn_ebook | 978-1-4684-9273-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media New York 2002 |
发表于 2025-3-21 19:57:04
