English

Rationality of the moduli spaces of Eisenstein K3 surfaces

Algebraic Geometry 2013-12-23 v3

Abstract

K3 surfaces with non-symplectic symmetry of order 3 are classified by open sets of twenty-four complex ball quotients associated to Eisenstein lattices. We show that twenty-two of those moduli spaces are rational.

Keywords

Cite

@article{arxiv.1208.5826,
  title  = {Rationality of the moduli spaces of Eisenstein K3 surfaces},
  author = {Shouhei Ma and Hisanori Ohashi and Shingo Taki},
  journal= {arXiv preprint arXiv:1208.5826},
  year   = {2013}
}

Comments

to appear in Trans. Amer. Math. Soc