Holomorphic Vector Bundles over Compact Complex Surfaces

1996
ISBN: 978-3-540-61018-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1624, 178 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 295 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Brinzanescu, Vasile

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

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