Integral monodromy conjecture for singular special Kähler metrics

Let $d$ denote the dimension parameter in the collapsing hyperkähler construction, and suppose the associated singular special Kähler metric arises under the uniform energy bound considered above. Integral monodromy conjecture. If $d=2$, then the singular special Kähler metric has integral monodromy. The claim concerns the monodromy of the integral-affine or special Kähler structure appearing in the two-dimensional collapse. The surrounding discussion indicates that the uniform energy bound is essential, since without it the statement is false; no resolution is supplied here.