Elliptic fibrations and symplectic automorphisms on K3 surfaces

dc.creatorGarbagnati, Alice
dc.creatorSarti, Alessandra
dc.date2008-01-25
dc.date2009-02-23
dc.date.accessioned2026-07-07T12:44:30Z
dc.date.available2026-07-07T12:44:30Z
dc.descriptionNikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice $U^3\oplus E_8(-1)^2$ depends only on the group but not on the K3 surface. For all the groups in the list of Nikulin we compute the invariant sublattice and its orthogonal complement by using some special elliptic K3 surfaces.
dc.description24 pages, 1 figure. To appear in Comm. in Algebra
dc.identifierhttps://arxiv.org/abs/0801.3992
dc.identifierhttp://arxiv.org/abs/0801.3992
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220790
dc.subjectAlgebraic Geometry
dc.subject14J28; 14J50; 14J10
dc.titleElliptic fibrations and symplectic automorphisms on K3 surfaces
dc.typetext

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