Holomorphic Vector Bundles On Non Algebraic Surfaces
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Holomorphic Vector Bundles over Compact Complex Surfaces
Author | : Vasile Brinzanescu |
Publisher | : Springer |
Total Pages | : 175 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540498451 |
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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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