Boden–Hu conjecture on small resolutions of parabolic bundle moduli spaces

Let $N$ and $s$ be integers with $0<s<N$, and let

$$W(N,s)^{\circ}:=\{\alpha\in\mathbb{R}^N:0<\alpha_1<\cdots<\alpha_N<1\text{ and }\sum_{n=1}^N\alpha_n=s\}.$$

For $\alpha\in W(N,s)^{\circ}$, let $M(\underline{\mathbf{1}})^\alpha$ be the moduli scheme of quasiparabolic bundles with multiplicity vector $\underline{\mathbf{1}}=(N,-s,1,\ldots,1)$, and for a generic weight vector $\beta$ near $\alpha$ let

$$\phi_\beta:M(\underline{\mathbf{1}})^\beta\longrightarrow M(\underline{\mathbf{1}})^\alpha$$

be the canonical morphism induced by the identity functor. A morphism is small if the locus where its fibers have dimension at least $k$ has codimension greater than $2k$ for every positive integer $k$. Boden–Hu conjecture. Near every $\alpha\in W(N,s)^{\circ}$, there is a generic $\beta\in W(N,s)^{\circ}$ such that $\phi_\beta$ is a small map. This predicts that every moduli space arising from an arbitrary weight vector admits, locally in weight space, a generic-weight resolution with no divisorial exceptional contribution. The supplied text does not state whether the conjecture is open or resolved.