Normal complete-intersection conjecture for enhanced quiver varieties

Let $\Lambda_{(r_i),I}$ be the enhanced quiver variety associated with the dimension data $(r_i)$ and index set $I$, and let $d_{(r_i),I}$ be its expected dimension. Normal complete-intersection conjecture. The variety $\Lambda_{(r_i),I}$ is a normal complete intersection of dimension $d_{(r_i),I}$. This conjecture is presented as the quiver-variety statement implying normality of enhanced nilpotent orbit closures; the paper proves only specified special cases.