Mathematics – Algebraic Geometry
Scientific paper
2000-01-31
Kodai Math. J. 24 (2001), 207--213
Mathematics
Algebraic Geometry
6 pages. Minor changes. To appear in Kodai Math. J
Scientific paper
A line bundle with a base-point-free multiple is called semiample. I give a
cohomological characterization of semiample line bundles. The result is a
common generalization of the Fujita-Zariski criterion for semiampleness and the
Grothendieck-Serre characterization of ampleness. Applying the Fujita-Zariski
Theorem, I characterize contractible curves in 1-dimensional families.
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