Discrete behavior of Seshadri constants on surfaces

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dc.creatorHarbourne, Brian
dc.creatorRoe, Joaquim
dc.date2007-09-25
dc.date.accessioned2026-07-07T08:32:04Z
dc.date.available2026-07-07T08:32:04Z
dc.descriptionWorking over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constant for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P^2 and new results about ample divisors on blow ups of P^2 at general points.
dc.description14 pages, to appear in J. Pure App. Algebra
dc.identifierhttps://arxiv.org/abs/0709.3937
dc.identifierhttp://arxiv.org/abs/0709.3937
dc.identifierdoi:10.1016/j.jpaa.2007.06.018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138686
dc.subjectAlgebraic Geometry
dc.subject14C20; 14J99
dc.titleDiscrete behavior of Seshadri constants on surfaces
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