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From holomorphic functions to complex manifolds
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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.
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From holomorphic functions to complex manifolds, Klaus Fritzsche
- Language
- Released
- 2002
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- Title
- From holomorphic functions to complex manifolds
- Language
- English
- Authors
- Klaus Fritzsche
- Publisher
- Springer
- Released
- 2002
- ISBN10
- 0387953957
- ISBN13
- 9780387953953
- Series
- Graduate texts in mathematics
- Category
- Mathematics
- Description
- 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.