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Compact Complex Surfaces
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Compact Complex Surfaces

2nd ed. 2004. Softcover reprint of the original 2n

by A.van de Ven , Chris Peters , K. Hulek , W. Barth

Book Details

Format Paperback / Softback
Book Series Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
ISBN-10 3642577385
ISBN-13 9783642577383
Edition 2nd ed. 2004. Softcover reprint of the original 2n
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture GB
Country of Publication GB
Publication Date Aug 23rd, 2014
Print length 436 Pages
Weight 690 grams
Dimensions 15.50 x 23.30 x 3.00 cms
Product Classification: Algebraic geometry
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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.
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.

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