A Characterization of Semiampleness and Contractions of Relative Curves

نویسندگان

  • STEFAN SCHRÖER
  • STEFAN SCHROEER
چکیده

We give a cohomological characterization of semiample line bundles. The result is a common generalization of the Fujita-Zariski Theorem on semiampleness and the Grothendieck-Serre criterion for ampleness. As an application of the Fujita-Zariski Theorem we characterize contractible curves in 1-dimensional families.

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تاریخ انتشار 2000