Primary-discriminant criterion for 0-brane monodromy

Let $X$ be a Calabi–Yau threefold, let $\Delta_0$ be the primary component of the discriminant, and let a 0-brane be an object $P\in\mathbf{D}(X)$ with Chern character equal to the point class $p\in H^6(X)$. 0-brane monodromy conjecture. The 0-brane undergoes monodromy if and only if one circles the primary component $\Delta_0$ of the discriminant. The preceding calculation shows that circling $\Delta_0$ adds a 6-brane charge, while the other discriminant components considered in the source act trivially on the 0-brane; the general criterion is not resolved in the source.