Holomorphic Vector Bundles over Compact Complex Surfaces
- ISBN-10
- 3540498451
- ISBN-13
- 9783540498452
- Category
- Mathematics
- Pages
- 178
- Language
- English
- Published
- 2006-11-14
- Publisher
- Springer
- Author
- Vasile Brinzanescu
Description
The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. The reader requires a grounding in geometry at graduate student level. The book will be of interest to graduate students and researchers in complex, algebraic and differential geometry.
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