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Holomorphic Vector Bundles Over Compact Complex Surfaces (lecture Notes In Mathematics) by Brînzănescu, Vasile , 1945-, Vasile Brînzănescu, Vasile Brînzǎnescu is a book available to read on EtoBox.

What is Holomorphic Vector Bundles Over Compact Complex Surfaces (lecture Notes In Mathematics) about?

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. 1. Vector Bundles Over Complex Manifolds. 1.1. Vector Bundles. 1.2. Chern Classes. 1.3. Gaga Theorems. 1.4. Torsion-free And Reflexive Coherent Sheaves. 1.5. Problems On Vector Bundles -- 2. Facts On Compact Complex Surfaces. 2.1. Line Bundles And Divisors. 2.2. Algebraic Dimension And Kodaira Dimension. 2.3. Classification And Examples Of Surfaces. 2.4. Intersection Form And Neron-severi Group -- 3. Line Bundles Over Surfaces. 3.1. Holomorphic Structures In Line Bundles. 3.2. Picard Group For Tori. 3.3. Neron-severi Group For Some Elliptic Surfaces. 3.4. Picard Group For Primary Kodaira

Author

Brînzănescu, Vasile , 1945-, Vasile Brînzănescu, Vasile Brînzǎnescu

Publisher

Springer Spektrum. in Springer-Verlag GmbH

Published

1996

Language

EN

ISBN

9783540498452

Subjects

Mathematics, Stem