Algebraic Surfaces (Paperback)

Intersection Theory and the Nakai-Moishezon Criterion The Hodge Index Theorem and the Intersection Matrix of a Fiber Criteria of Contractability and Rational Singularities Properties of Rational Singularities Noether's Formula, Picard Scheme, Albanese Variety, and Plurigenera Existence of Minimal Models Morphisms to a Curve, Elliptic and Quasielliptic Fibrations Canonical Dimension of an Elliptic or Quasielliptic Fibration The Classification Theorem According to Canonical Dimension Surfaces with Canonical Dimension Zero (char(k)=/2,3) Ruled Surfaces. The Noether-Tsen Criterion Minimal Models of Ruled Surfaces The Zariski decomposition and applications Appendix: Further reading