We give some examples of four dimensional cusp singularities which are not of Hilbert modular type. We construct them, using quadratic cones and subgroups of reflection groups.
"Examples of four dimensional cusp singularities." J. Math. Soc. Japan 70 (3) 1047 - 1062, July, 2018. https://doi.org/10.2969/jmsj/75337533