Seshadri constants and surfaces of minimal degree

dc.creatorSyzdek, Wioletta
dc.creatorSzemberg, Tomasz
dc.date2008-06-08
dc.date.accessioned2026-07-07T09:43:19Z
dc.date.available2026-07-07T09:43:19Z
dc.descriptionIn "Seshadri fibrations of algebraic surfaces" [arXiv:0709.2592v1] we showed that if the multiple point Seshadri constants of an ample line bundle on a smooth projective surface in very general points satisfy certain inequality then the surface is fibred by curves computing these constants. Here we characterize the border case of polarized surfaces whose Seshadri constants in general points fulfill the equality instead of inequality and which are not fibred by Seshadri curves. It turns out that these surfaces are the projective plane and surfaces of minimal degree.
dc.description7 pages, to appear in proceedings of the Ghent conference " Linear systems and subschemes"
dc.identifierhttps://arxiv.org/abs/0806.1351
dc.identifierhttp://arxiv.org/abs/0806.1351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162510
dc.subjectAlgebraic Geometry
dc.subject14C20; 14J26
dc.titleSeshadri constants and surfaces of minimal degree
dc.typetext

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