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

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Johannes Stauder,Ingmar Rapp,Jan Eckhard main results in Sect. 2. In Chapt. IV, Sect. 3 we saw that K 3- surfaces are Kähler, a fact we use from the start. The main tool for studying moduli of K 3- surfaces is the period map and we describe these moduli spaces in terms of the corresponding period domains. This is done in Sect. 6–14 after

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Persönliche VerhaltensgewohnheitenThis book is mainly concerned with the classification of smooth compact complex surfaces, i.e., of compact 2-dimensional complex manifolds, which in the introduction we shall always assume to be connected *).

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Johannes Stauder,Ingmar Rapp,Jan EckhardIn the first section we state the restrictions on (..., ..) for minimal surfaces of general type. In the section following it, the “easy” inequalities c.. > 0 and c. > 0 are proven and we show that there is only a finite number of (−2)-curves.

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Introduction,This book is mainly concerned with the classification of smooth compact complex surfaces, i.e., of compact 2-dimensional complex manifolds, which in the introduction we shall always assume to be connected *).

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Preliminaries,In this sub-chapter we collect some basic facts from topology and algebra. Among the less elementary facts needed later on we mention the topological index theorem recalled in §3. The (elementary) facts concerning quadratic forms will be used mainly in the chapter on K 3- and Enriques-surfaces.

ensemble

Surfaces of General Type,In the first section we state the restrictions on (..., ..) for minimal surfaces of general type. In the section following it, the “easy” inequalities c.. > 0 and c. > 0 are proven and we show that there is only a finite number of (−2)-curves.

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