On kth-order embeddings of K3 surfaces and Enriques surfaces

dc.creatorKnutsen, Andreas Leopold
dc.date2000-08-22
dc.date2000-12-25
dc.date.accessioned2026-07-07T04:36:55Z
dc.date.available2026-07-07T04:36:55Z
dc.descriptionWe give necessary and sufficient conditions for a big and nef line bundle L of any degree on a K3 surface or Enriques surface to be k-very ample and k-spanned. Furthermore, we give necessary and sufficient conditions for a spanned and big line bundle on a K3 surface to be birationally k-very ample and birationally k-spanned, and relate these concepts to the Clifford index and gonality of smooth curves in |L|.
dc.description23 pages, 0 figures, slightly improved version (Section 4), added references, to appear in Manuscr. Math
dc.identifierhttps://arxiv.org/abs/math/0008169
dc.identifierhttp://arxiv.org/abs/math/0008169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59777
dc.subjectAlgebraic Geometry
dc.subject14J28
dc.titleOn kth-order embeddings of K3 surfaces and Enriques surfaces
dc.typetext

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