Relative Canonical Sheaves of a Family of Curves

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dc.creatorLee, Jongmin
dc.date2002-11-18
dc.date.accessioned2026-07-07T04:53:02Z
dc.date.available2026-07-07T04:53:02Z
dc.descriptionIn this paper we show that the relative canonical sheaf of a relatively minimal fibration of curves over a curve is semi-ample ; in fact, its m-tensored product is base point free for any m > 1. We use Koszul cohomology with it to prove that the relative canonical ring of the fibration is generated in degree up to five.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0211274
dc.identifierhttp://arxiv.org/abs/math/0211274
dc.identifierJournal of Algebra, Volume 286(2005), no. 2, 341-360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65696
dc.subjectAlgebraic Geometry
dc.subject14D99
dc.titleRelative Canonical Sheaves of a Family of Curves
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