Elliptic fibrations and symplectic automorphisms on K3 surfaces

Details Elliptic fibrations and symplectic automorphisms on K3 surfaces Elliptic fibrations and symplectic automorphisms on K3 surfaces

2008-01-25

arxiv.org/abs/0801.3992v2

Mathematics

Algebraic Geometry

24 pages, 1 figure. To appear in Comm. in Algebra

Scientific paper

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
$U^3\oplus E_8(-1)^2$ 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.

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