We describe a general procedure to produce fundamental domains for complex hyperbolic triangle groups. This allows us to produce new nonarithmetic lattices, bringing the number of known nonarithmetic commensurability classes in to 22.
"New Nonarithmetic Complex Hyperbolic Lattices II." Michigan Math. J. 70 (1) 133 - 205, March 2021. https://doi.org/10.1307/mmj/1592532044