Author | Brรฎnzฤ{131}nescu, Vasile. author |
---|---|

Title | Holomorphic Vector Bundles over Compact Complex Surfaces [electronic resource] / by Vasile Brรฎnzฤ{131}nescu |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1996 |

Connect to | http://dx.doi.org/10.1007/BFb0093696 |

Descript | X, 178 p. online resource |

SUMMARY

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

CONTENT

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