Holomorphic Vector Bundles Over Compact Complex Surfaces, Paperback Book

Holomorphic Vector Bundles Over Compact Complex Surfaces Paperback

Part of the Lecture Notes in Mathematics series

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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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