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Holomorphic Vector Bundles over Compact Complex Surfaces

  • Book
  • © 1996

Overview

Authors:
  1. Vasile Brînzănescu
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1624)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
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  2. Vector bundles over complex manifolds

    • Vasile Brînzănescu
    Pages 1-27

  3. Facts on compact complex surfaces

    • Vasile Brînzănescu
    Pages 29-52

  4. Line bundles over surfaces

    • Vasile Brînzănescu
    Pages 53-83

  5. Existence of holomorphic vector bundles

    • Vasile Brînzănescu
    Pages 85-117

  6. Classification of vector bundles

    • Vasile Brînzănescu
    Pages 119-155

  7. Back Matter

    Pages 157-167
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Holomorphic Vector Bundles over Compact Complex Surfaces

  • Authors: Vasile Brînzănescu

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093696

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61018-2Published: 18 April 1996

  • eBook ISBN: 978-3-540-49845-2Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 178

  • Topics: Differential Geometry, Algebraic Topology, Geometry, Algebraic Geometry

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