Relative hyperbolicity of Artin groups from their Coxeter groups

Let $A$) be an Artin group, with corresponding Coxeter group $W$. The standard parabolic subgroups of $A$ of finite type are the parabolic subgroups associated with finite standard parabolic subgroups of $W$. Artin–Coxeter relative hyperbolicity conjecture. $A$ is weakly hyperbolic relative to its finite type standard parabolic subgroups if and only if $W$ is a hyperbolic group. This extends the stated two-dimensional result to arbitrary Artin groups; the paper presents it as reasonable in the absence of a counterexample, and does not establish it in general.