Holomorphic vector bundles over compact complex surfaces
Author(s)
Bibliographic Information
Holomorphic vector bundles over compact complex surfaces
（Lecture notes in mathematics, 1624 . Mathematische Institut der Universität und Max-Planck-Institut für Mathematik Bonn / adviser,
Springer, c1996
Available at / 100 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1624RM960401
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
514.224/B7722070372637
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Note
Includes bibliographical references (p. [157]-165) and index
Description and Table of Contents
Description
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.
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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