| Foreword to the English Version Preface Conventions and Notation 1 Cohomological Intersection Theory and the Nakai-Moishezon Criterion of Ampleness 2 The Hodge Index Theorem and the Structure of the Intersection Matrix of a Fiber 3 Criteria of Contractability and Rational Singularities 4 Properties of Rational Singularities 5 Noether's Formula, the Picard Scheme, the Albanese Variety, and Plurigenera 6 Existence of Minimal Models 7 Morphisms from a Surface to a Curve. Elliptic and Quasielliptic Fibrations 8 Canonical Dimension of an Elliptic or Quasielliptic Fibration 9 The Classification Theorem According to Canonical Dimension 10 Surfaces with Canonical Dimension Zero 11 Ruled Surfaces. The Noether-Tsen Criterion 12 Minimal Models of Ruled Surfaces 13 Characterization of Ruled and Rational Surfaces 14 Zariski Decomposition and Applications 15 Appendix: Further Reading References Index |
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