Projective models of K3 surfaces with an even set

dc.creatorGarbagnati, Alice
dc.creatorSarti, Alessandra
dc.date2006-11-07
dc.date.accessioned2026-07-07T07:32:36Z
dc.date.available2026-07-07T07:32:36Z
dc.descriptionThe aim of this paper is to describe algebraic K3 surfaces with an even set of rational curves or of nodes. Their minimal possible Picard number is nine. We completely classify these K3 surfaces and after a carefull analysis of the divisors contained in the Picard lattice we study their projective models, giving necessary and sufficient conditions to have an even set. Moreover we investigate their relation with K3 surfaces with a Nikulin involution.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0611182
dc.identifierhttp://arxiv.org/abs/math/0611182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119167
dc.subjectAlgebraic Geometry
dc.subject14J28, 14J10, 14E20
dc.titleProjective models of K3 surfaces with an even set
dc.typetext

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