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arXiv:math/0001183 [math.AG]AbstractReferencesReviewsResources

A characterization of semiampleness and contractions of relative curves

Stefan Schroeer

Published 2000-01-31, updated 2001-04-21Version 2

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.

Comments: 6 pages. Minor changes. To appear in Kodai Math. J
Journal: Kodai Math. J. 24 (2001), 207--213
Categories: math.AG
Subjects: 14A15, 14C20, 14H10
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