Holomorphic Vector Bundles over Compact Complex Surfaces
✍ Scribed by Vasile Brînzănescu (auth.)
- Book ID
- 127453565
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 1 MB
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 3540498451
No coin nor oath required. For personal study only.
✦ Synopsis
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.
✦ Subjects
Algebraic Topology
📜 SIMILAR VOLUMES
This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. It is aimed at graduate students who have had a thorough first year course in algebraic geometry (at the level of Hartshorne's ALGEBRAIC GEOMETRY), as well as more advanced graduate students and
This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. It is aimed at graduate students who have had a thorough first-year course in algebraic geometry (at the level of Hartshorne's Algebraic Geometry), as well as more advanced graduate students and
The existence problem for holomorphic structures on vector bundles over non-algebraic surfaces is, in general, still open. We solve this problem in the case of rank 2 vector bundles over K3 surfaces and in the case of vector bundles of arbitrary rank over all known surfaces of class VII. Our methods