Group Actions, Cyclic Coverings and Families of K3-Surfaces

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dc.creatorSarti, Alessandra
dc.date2004-09-22
dc.date.accessioned2026-07-07T05:12:28Z
dc.date.available2026-07-07T05:12:28Z
dc.descriptionIn this paper we describe six pencils of K3-surfaces which have large Picard-Number and contain precisely five singular fibers: four have A-D-E singularities and one is non-reduced. In particular we describe these surfaces as cyclic coverings of the K3-surfaces which Barth and the author described in a previous manuscript (Asian. J. of Math. Vol. 7, No. 4, 519-538, Dec. 2003). In many cases using this description and lattice-Theory we are able to compute the exact Picard-number and to describe explicitly the Picard-lattices.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0409419
dc.identifierhttp://arxiv.org/abs/math/0409419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72583
dc.subjectAlgebraic Geometry
dc.subject14J28;14L30;14E20;14C22
dc.titleGroup Actions, Cyclic Coverings and Families of K3-Surfaces
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