The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24

@article{Taormina2013TheOF,
  title={The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24},
  author={A. Taormina and K. Wendland},
  journal={Journal of High Energy Physics},
  year={2013},
  volume={2013},
  pages={1-63}
}
A bstractIn view of a potential interpretation of the role of the Mathieu group M24 in the context of strings compactified on K3 surfaces, we develop techniques to combine groups of symmetries from different K3 surfaces to larger ‘overarching’ symmetry groups. We construct a bijection between the full integral homology lattice of K3 and the Niemeier lattice of type $ A_1^{24 } $, which is simultaneously compatible with the finite symplectic automorphism groups of all Kummer surfaces lying on an… Expand
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