Holomorphic Vector Bundles over Compact Complex Surfaces / Edition 1

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Overview

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.

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Product Details

  • ISBN-13: 9783540610182
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/30/1996
  • Series: Lecture Notes in Mathematics Series , #1624
  • Edition description: 1996
  • Edition number: 1
  • Pages: 178
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.40 (d)

Table of Contents

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

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