Holomorphic Vector Bundles over Compact Complex Surfaces. 1st ed. 1996

種類:

電子ブック

責任表示:

by Vasile Brinzanescu

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996

著者名:

• Brinzanescu, Vasile.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1624

ISBN:

9783540498452 [3540498451]    

注記:

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