A characterization of semiampleness and contractions of relative curves

Simple item page
dc.creatorSchroeer, Stefan
dc.date2000-01-31
dc.date2001-04-21
dc.date.accessioned2026-07-07T04:33:31Z
dc.date.available2026-07-07T04:33:31Z
dc.descriptionA 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.
dc.description6 pages. Minor changes. To appear in Kodai Math. J
dc.identifierhttps://arxiv.org/abs/math/0001183
dc.identifierhttp://arxiv.org/abs/math/0001183
dc.identifierKodai Math. J. 24 (2001), 207--213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58602
dc.subjectAlgebraic Geometry
dc.subject14A15, 14C20, 14H10
dc.titleA characterization of semiampleness and contractions of relative curves
dc.typetext

Files

Collections

arXiv