The complex crystallographic groups and symmetries of $J_{10}$

Goryunov, Victor; Man, Show Han

doi:10.2969/aspm/04310055

VOL. 43 | 2006 The complex crystallographic groups and symmetries of $J_{10}$

Victor Goryunov, Show Han Man

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Hiroo Tokunaga, Ichiro Shimada, Takasi Sano

Adv. Stud. Pure Math., 2006: 55-72 (2006) DOI: 10.2969/aspm/04310055

Abstract

We show that finite order symmetries of the function singularity $J_{10}$ give rise to some of complex crystallographic groups listed in [12]. The groups are extracted from the equivariant monodromy of the function. This is the first appearance of affine reflection groups in a singularity context.