Compact Complex Surfaces (Hardcover, 2nd ed. 1995)

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."

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 4
Release date:	November 2003
First published:	2004
Authors:	W. Barth • K. Hulek • Chris Peters • A. Van De Ven
Dimensions:	235 x 155 x 28mm (L x W x T)
Format:	Hardcover
Pages:	436
Edition:	2nd ed. 1995
ISBN-13:	978-3-540-00832-3
Categories:	Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-540-00832-2
Barcode:	9783540008323

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