Symplectic Automorphisms on Kummer Surfaces

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dc.creatorGarbagnati, Alice
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:33Z
dc.date.available2026-07-07T09:18:33Z
dc.descriptionNikulin proved that the isometries induced on the second cohomology group of a K3 surface $X$ by a finite abelian group $G$ of symplectic automorphisms are essentially unique. Moreover he computed the discriminant of the sublattice of $H^2(X, \Z)$ which is fixed by the isometries induced by $G$. However for certain groups these discriminants are not the same of those found for explicit examples. Here we describe Kummer surfaces for which this phenomena happens and we explain the difference.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0802.0369
dc.identifierhttp://arxiv.org/abs/0802.0369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154063
dc.subjectAlgebraic Geometry
dc.subject14J28, 14J50
dc.titleSymplectic Automorphisms on Kummer Surfaces
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