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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Compact Complex Surfaces ([EBook]) / by W. Barth, C. Peters, A. Van de Ven.
Author	Barth, Wolf , 1942-2016
Added Personal Name	Peters, C.
Added Personal Name	Ven, A. van de
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1984.
Physical Details	X, 304 pages : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 0071-1136 ; ; 4
ISBN	9783642967542
Summary Note	Contents: Introduction. - Standard Notations. - Preliminaries. - Curves on Surfaces. - Mappings of Surfaces. - Some General Properties of Surfaces. - Examples. - The Enriques-Kodaira Classification. - Surfaces of General Type. - K3-Surfaces and Enriques Surfaces. - Bibliography. - Subject Index.:
Contents note	Historical Note -- References -- The Content of the Book -- Standard Notations -- I. Preliminaries -- Topology and Algebra -- Complex Manifolds -- General Analytic Geometry -- Differential Geometry of Complex Manifolds -- Coverings -- Projective-Algebraic Varieties -- II. Curves on Surfaces -- Embedded Curves -- Intersection Theory -- III. Mappings of Surfaces -- Bimeromorphic Geometry -- Fibrations of Surfaces -- The Period Map of Stable Fibrations -- IV. Some General Properties of Surfaces -- 1. Meromorphic Maps Associated to Line Bundles -- 2. Hodge Theory on Surfaces -- 3. Deformations of Surfaces -- 4. Some Inequahties for Hodge Numbers -- 5. Projectivity of Surfaces -- 6. Surfaces of Algebraic Dimension Zero -- 7. Almost-Complex Surfaces without any Complex Structure -- 8. The Vanishing Theorems of Ramanujam and Mumford -- V. Examples -- Some Classical Examples -- Fibre Bundles -- Elliptic Fibrations -- Kodaira Fibrations -- Finite Quotients -- Infinite Quotients -- Double Coverings -- VI. The Enriques-Kodaira Classification -- 1. Statement of the Main Result -- 2. The Castelnuovo Criterion -- 3. The Case a(X) = 2 -- 4. The Case a(X) = 1 -- 5. The Case a (X) = 0 -- 6. The Final Step -- 7. Deformations -- VII. Surfaces of General Type -- Preliminaries -- Two Inequalities -- Pluricanonical Maps -- Surfaces with Given Chern Numbers -- VIII. K3-Surfaces and Enriques Surfaces -- K3-Surfaces -- Enriques Surfaces -- Notations.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-96754-2
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Authors: author . Barth, Wolf 1942-2016 . Barth, Wolf, 1942-2016. . Peters, C. . Ven, A. van de . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics . Classification: 516.35 .

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Compact Complex Surfaces

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