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AuthorBrรฎnzฤ{131}nescu, Vasile. author
TitleHolomorphic Vector Bundles over Compact Complex Surfaces [electronic resource] / by Vasile Brรฎnzฤ{131}nescu
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1996
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Descript X, 178 p. online resource


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


Vector bundles over complex manifolds -- Facts on compact complex surfaces -- Line bundles over surfaces -- Existence of holomorphic vector bundles -- Classification of vector bundles

Mathematics Algebraic geometry Geometry Differential geometry Algebraic topology Mathematics Differential Geometry Algebraic Topology Geometry Algebraic Geometry


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