Author	Brรฎnzฤnescu, Vasile. author
Title	Holomorphic Vector Bundles over Compact Complex Surfaces [electronic resource] / by Vasile Brรฎnzฤnescu
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1996
Connect to	http://dx.doi.org/10.1007/BFb0093696
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

1. Mathematics
2. Algebraic geometry
3. Geometry
4. Differential geometry
5. Algebraic topology
6. Mathematics
7. Differential Geometry
8. Algebraic Topology
9. Geometry
10. Algebraic Geometry