Abstract
I give a cohomological characterization of semiample line bundles. The result is a generalization of both the Fujita-Zariski Theorem on semiampleness and the Grothendieck-Serre Criterion for ampleness. As an application of the Fujita-Zariski Theorem I characterize contractible curves in 1-dimensional families.
Citation
Stefan Schröer. "A characterization of semiampleness and contractions of relative curves." Kodai Math. J. 24 (2) 207 - 213, 2001. https://doi.org/10.2996/kmj/1106168783
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