Holomorphic Vector Bundles over Compact Complex Surfaces

  • Authors
  • Vasile Brînzănescu

Part of the Lecture Notes in Mathematics book series (LNM, volume 1624)

Table of contents

  1. Front Matter
    Pages I-X
  2. Vasile Brînzănescu
    Pages 1-27
  3. Vasile Brînzănescu
    Pages 29-52
  4. Vasile Brînzănescu
    Pages 53-83
  5. Vasile Brînzănescu
    Pages 85-117
  6. Vasile Brînzănescu
    Pages 119-155
  7. Back Matter
    Pages 157-167

About this book

Introduction

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.

Keywords

Holomorphic vector bundles Picard group complex surfaces differential geometry line bundles moduli spaces of vector bundles vector bundle

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093696
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61018-2
  • Online ISBN 978-3-540-49845-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book