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＜E-Book＞
Holomorphic Vector Bundles over Compact Complex Surfaces / by Vasile Brinzanescu
(Lecture Notes in Mathematics. ISSN:16179692 ; 1624)

Edition	1st ed. 1996.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1996
Size	X, 178 p : online resource
Authors	*Brinzanescu, Vasile author SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential LCSH:Algebraic topology LCSH:Geometry LCSH:Algebraic geometry FREE:Differential Geometry FREE:Algebraic Topology FREE:Geometry FREE:Algebraic Geometry
Notes	Vector bundles over complex manifolds -- Facts on compact complex surfaces -- Line bundles over surfaces -- Existence of holomorphic vector bundles -- Classification of vector bundles 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 HTTP:URL=https://doi.org/10.1007/BFb0093696

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