Compact Complex Surfaces

Author: W. Barth
Editor: Springer
ISBN: 3642577393
File Size: 73,47 MB
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In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged.

Compact Complex Surfaces

Author: W. Barth
Editor: Springer Science & Business Media
ISBN: 364296754X
File Size: 41,19 MB
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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.

Holomorphic Vector Bundles Over Compact Complex Surfaces

Author: Vasile Brinzanescu
Editor: Springer
ISBN: 3540498451
File Size: 17,26 MB
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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.

Parallelizability Of Compact Complex Surfaces

Author: Ronald Brand
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ISBN:
File Size: 51,37 MB
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Compact Complex Surfaces

Author: W. Barth
Editor:
ISBN: 9783642967559
File Size: 16,78 MB
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Compact Complex Surfaces

Author: Wolf Barth
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ISBN:
File Size: 46,70 MB
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Compact Complex Surfaces

Author: Wolf Barth
Editor:
ISBN: 9780387121727
File Size: 69,50 MB
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Compact Complex Surfaces

Author: Wolf Barth
Editor: Springer Verlag
ISBN:
File Size: 64,85 MB
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The first edition of "Compact Complex Surfaces" was published in 1984 and has become one of the most important books on the subject. In this second enlarged edition the major developments of the last 20 years have been incorporated. The Enriques-Kodaira classification is carried out in the spirit of Mori theory and many new developments have been added, including new analytic tools as well as new algebraic methods such as the theorems of Bogomolov and Reider and their applications. A new section is devoted to the stunning results achieved by the introduction of Donaldson and Seiberg-Witten invariants.

Introduction To The Theory Of Compact Complex Surfaces

Author: C. A. M. Peters
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ISBN:
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On Automorphisms Of Compact Complex Surfaces

Author: Ricardo Francisco Vila-Freyer
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ISBN:
File Size: 10,97 MB
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Classification Of Compact Complex Surfaces Using Mori Theory

Author: Stefan Müller
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File Size: 25,51 MB
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Detailed Survey On The Kodaira Classification Of Compact Complex Surfaces

Author: 鍾岱軒
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ISBN:
File Size: 28,56 MB
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Holomorphic Vector Bundles Over Compact Complex Surfaces

Author: Vasile Brînzănescu
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ISBN: 9780387610184
File Size: 13,82 MB
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Compact Complex Surfaces Admitting Non Trivial Surjective Endomorphisms

Author: Yoshio Fujimoto
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ISBN:
File Size: 29,49 MB
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Abstract: "Smooth compact complex surfaces admitting non-trivial surjective endomorphisms are classified up to isomorphisms. The algebraic case has been classified in [3], [19]. The following surfaces are listed in the non-algebraic case: a complex torus, a Kodaira surface, a Hopf surface with at least two curves, an Inoue surface with curves, and an Inoue surface without curves satisfying a rationality condition."

On Calabi Yau Threefolds Fibered Over Compact Complex Surfaces

Author: Wing-Wah Sung
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ISBN:
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Hermitain Einstein Connections And Stable Vector Bundles Over Compact Complex Surfaces

Author: N. P. Buchdahl
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ISBN:
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The Kobayashi Pseudometric On Compact Complex Surfaces In Abelian Varieties

Author: Christian Schuster
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File Size: 27,62 MB
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The Homotopy Invariance Of The Plurigenera Of Non K Hlerian Compact Complex Surfaces

Author: Michael Lönne
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Smooth Four Manifolds And Complex Surfaces

Author: Robert Friedman
Editor: Springer Science & Business Media
ISBN: 3662030284
File Size: 56,86 MB
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In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130]. This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5. By the mid 1970's the main outlines of this theory were complete, and explicit answers (especially concerning simply connected manifolds) as well as general qualitative results had been obtained. As an example of such a qualitative result, a closed, simply connected manifold of dimension 2: 5 is determined up to finitely many diffeomorphism possibilities by its homotopy type and its Pontrjagin classes. There are similar results for self-diffeomorphisms, which, at least in the simply connected case, say that the group of self-diffeomorphisms of a closed manifold M of dimension at least 5 is commensurate with an arithmetic subgroup of the linear algebraic group of all automorphisms of its so-called rational minimal model which preserve the Pontrjagin classes [131]. Once the high dimensional theory was in good shape, attention shifted to the remaining, and seemingly exceptional, dimensions 3 and 4. The theory behind the results for manifolds of dimension at least 5 does not carryover to manifolds of these low dimensions, essentially because there is no longer enough room to maneuver. Thus new ideas are necessary to study manifolds of these "low" dimensions.