Holomorphic Vector Bundles Over Compact Complex Surfaces

Holomorphic Vector Bundles Over Compact Complex Surfaces
ISBN-10
3540610189
ISBN-13
9783540610182
Category
Mathematics / Geometry / Differential
Pages
170
Language
English
Published
1996-04-18
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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