Holomorphic Vector Bundles over Compact Complex Surfaces / Edition 1

by Vasile Brinzanescu

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.

Product Details

ISBN-13:	9783540610182
Publisher:	Springer Berlin Heidelberg
Publication date:	04/30/1996
Series:	Lecture Notes in Mathematics , #1624
Edition description:	1996
Pages:	178
Product dimensions:	6.10(w) x 9.25(h) x 0.02(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.