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Tables of Contents for Algebraic Surfaces
Chapter/Section Title
Page #
Page Count
Foreword to the English Version
v
Preface
vii
Conventions and Notation
xi
Cohomological Intersection Theory and the Nakai-Moishezon Criterion of Ampleness
1
16
The Hodge Index Theorem and the Structure of the Intersection Matrix of a Fiber
17
6
Criteria of Contractability and Rational Singularities
23
30
Properties of Rational Singularities
53
16
Noether's Formula, the Picard Scheme, the Albanese Variety, and Plurigenera
69
12
Existence of Minimal Models
81
6
Morphisms from a Surface to a Curve. Elliptic and Quasielliptic Fibrations
87
24
Canonical Dimension of an Elliptic or Quasielliptic Fibration
111
12
The Classification Theorem According to C anonical Dimension
123
14
Surfaces with Canonical Dimension Zero (char (k) ≠ 2, 3)
137
28
Ruled Surfaces. The Noether-Tsen Criterion
165
16
Minimal Models of Ruled Surfaces
181
14
Characterization of Ruled and Rational Surfaces
195
20
Zariski Decomposition and Applications
215
30
Appendix: Further Reading
245
2
References
247
9
Index
256