Titlebook: Compact Complex Surfaces; Wolf P. Barth,Klaus Hulek,Antonius Ven Book 2004Latest edition Springer-Verlag Berlin Heidelberg 2004

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FICE

Evocative

纺织品

Abrade

Examples,ast and very difficult step towards the affirmative answer was done only in the late 1970s by S. - T. Yau. The striking point is that the only known proof uses analysis (hidden in Riemann-Roch for non-algebraic surfaces) and differential geometry as well as the methods of analytic and algebraic geometry.

自恋

Book 2004Latest editiont 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 invari

自恋

荣幸

Inveterate

Mappings of Surfaces, 2 and depends on the fact that one can contract a (−1)-curve, i.e., a smooth rational curve with self intersection − 1, to a . point. This and its applications to the existence of minimal models is treated in Sect. 4. Curves contractible to (singular) points are treated more generally in Sect. 2.

amphibian

The Enriques Kodaira Classification, deduce Castelnuovo’s criterion as a corollary. After all this the classification of minimal algebraic surfaces becomes quite easy. The classification of non-algebraic surfaces which follows next, is the same as in the first edition of the book. In Sect. 8 we prove Iitaka’s results concerning the stability of the ten classes under deformations.