English

The automorphism groups of certain singular K3 surfaces and an Enriques surface

Algebraic Geometry 2015-10-13 v2

Abstract

We present finite sets of generators of the full automorphism groups of three singular K3 surfaces, on which the alternating group of degree 6 acts symplectically. We also present a finite set of generators of the full automorphism group of an associated Enriques surface, on which the Mathieu group M_{10} acts.

Keywords

Cite

@article{arxiv.1412.6904,
  title  = {The automorphism groups of certain singular K3 surfaces and an Enriques surface},
  author = {Ichiro Shimada},
  journal= {arXiv preprint arXiv:1412.6904},
  year   = {2015}
}

Comments

41 pages, 1 figure, typos are corrected, references are updated