English

Arithmeticity of Four Hypergeometric Monodromy Groups associated to Calabi-Yau threefolds

Group Theory 2014-10-24 v6

Abstract

In [12], we show that 3 of the 14 hypergeometric monodromy groups associated to Calabi-Yau threefolds, are arithmetic. Brav-Thomas (in [3]) show that 7 of the remaining 11, are thin. In this article, we settle the arithmeticity problem for the 14 monodromy groups, by showing that, the remaining 4 are arithmetic.

Keywords

Cite

@article{arxiv.1308.4039,
  title  = {Arithmeticity of Four Hypergeometric Monodromy Groups associated to Calabi-Yau threefolds},
  author = {Sandip Singh},
  journal= {arXiv preprint arXiv:1308.4039},
  year   = {2014}
}

Comments

Referees' suggestions have been included, to appear in International Mathematics Research Notices (IMRN)