Nikulin involutions on K3 surfaces

dc.creatorvan Geemen, Bert
dc.creatorSarti, Alessandra
dc.date2006-02-01
dc.date.accessioned2026-07-07T07:03:01Z
dc.date.available2026-07-07T07:03:01Z
dc.descriptionWe study the maps induced on cohomology by a Nikulin (i.e. a symplectic) involution on a K3 surface. We parametrize the eleven dimensional irreducible components of the moduli space of algebraic K3 surfaces with a Nikulin involution and we give examples of the general K3 surface in various components. We conclude with some remarks on Morrison-Nikulin involutions, these are Nikulin involutions which interchange two copies of E_8(-1) in the Neron Severi group.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0602015
dc.identifierhttp://arxiv.org/abs/math/0602015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108814
dc.subjectAlgebraic Geometry
dc.subject14J28, 14J10
dc.titleNikulin involutions on K3 surfaces
dc.typetext

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