Holomorphic Vector Bundles over Compact Complex Surfaces [electronic resource] / by Vasile Brînzănescu.
Material type: TextSeries: Lecture Notes in Mathematics ; 1624Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1996Description: X, 178 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540498452Subject(s): Mathematics | Geometry, algebraic | Global differential geometry | Algebraic topology | Mathematics | Differential Geometry | Algebraic Geometry | Algebraic TopologyAdditional physical formats: Printed edition:: No titleDDC classification: 516.36 LOC classification: QA641-670Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1768 |
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.
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