Holomorphic Vector Bundles over Compact Complex Surfaces
Seiten
1996
|
1996
Springer Berlin (Verlag)
978-3-540-61018-2 (ISBN)
Springer Berlin (Verlag)
978-3-540-61018-2 (ISBN)
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.
| Erscheint lt. Verlag | 18.4.1996 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | X, 178 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 1 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | Algebraische Topologie • complex surfaces • Differentialgeometrie • Differential Geometry • Differenzialgeometrie • Holomorphic vector bundles • line bundles • moduli spaces of vector bundles • Nichteuklidische Geometrie • Picard group • vector bundle • Vektorraumbündel |
| ISBN-10 | 3-540-61018-9 / 3540610189 |
| ISBN-13 | 978-3-540-61018-2 / 9783540610182 |
| Zustand | Neuware |
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