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Elliptic fibrations and symplectic automorphisms on K3 surfaces

Alice Garbagnati, Alessandra Sarti

Number 4
Author Alessandra Sarti
Project B04
Year 2008

Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice U3E8(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.

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