Niemeier Lattices and K3 Groups

Details Niemeier Lattices and K3 Groups Niemeier Lattices and K3 Groups

2004-08-09

arxiv.org/abs/math/0408106v1

Mathematics

Algebraic Geometry

submitted to Proceedings of Conference on Algebraic Geometry -- in honour of Professor I. Dolgachev, Contemporary Math. Amer.

Scientific paper

In this note, we consider K3 surfaces X with an action by the alternating
group A_5. We show that if a cyclic extension A_5 . C_n acts on X then n = 1,
2, or 4. We also determine the A_5-invariant sublattice of the K3 lattice and
its discriminant form.

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