UNFAITHFUL COMPLEX HYPERBOLIC TRIANGLE GROUPS, III: ARITHMETICITY AND COMMENSURABILITY

作者：Paupert Julien^*

来源：Pacific Journal of Mathematics, 2010, 245(2): 359-372.

• nonarithmetic lattices
• complex reflection groups
• complex hyperbolic geometry

We prove that the so-called sporadic complex reflection triangle groups in SU(2, 1) are all nonarithmetic but one, and that they are not commensurable to Mostow or Picard lattices (with a small list of exceptions). This provides an infinite list of potential new nonarithmetic lattices in SU(2, 1).

• 出版日期2010-4