k-very ample line bundles on Del Pezzo Surfaces

dc.creatorDi Rocco, Sandra
dc.date1995-02-15
dc.date.accessioned2026-07-07T09:06:22Z
dc.date.available2026-07-07T09:06:22Z
dc.descriptionA $k$-very ample line bundle L on a Del Pezzo Surface is numerically characterized. We find that the set of the exceptional curves and effective divisors with selfintersection zero, $\cal S$, plays a very important rule in checking the nefness and $k$-very ampleness of a line bundle on a Del pezzo Surface. We show that a line bundle L is nef if and only if it is spanned and that L is $k$-very ample if and only if the intersection with all the elements of $\cal S$ is greater or equal than k. In the first part of the paper we give a complete numerical description of the elements of $\cal S$ .
dc.descriptionAMSLATEX file, 10 pages. To appear on Math. Nachrt
dc.identifierhttps://arxiv.org/abs/alg-geom/9502012
dc.identifierhttp://arxiv.org/abs/alg-geom/9502012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149978
dc.subjectAlgebraic Geometry
dc.titlek-very ample line bundles on Del Pezzo Surfaces
dc.typetext

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