Niemeier Lattices and K3 Groups
Algebraic Geometry
2018-06-20 v1
Abstract
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.
Cite
@article{arxiv.math/0408106,
title = {Niemeier Lattices and K3 Groups},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:math/0408106},
year = {2018}
}
Comments
submitted to Proceedings of Conference on Algebraic Geometry -- in honour of Professor I. Dolgachev, Contemporary Math. Amer. Math. Soc