Compositionality conjecture for partial flag supervarieties

Let $X = \operatorname{\mathbf{Flag}}(p_1|q_1, \dots, p_t|q_t;\;V)$ be a flag supervariety of type $\tau$, and let $Y$ be the variety associated to $X$ by the construction in the paper. A compositionality conjecture for partial flag supervarieties. The variety $Y$ is compositional, with defining parameters $\Delta_\bullet$ of the form

$$\Delta_h = \sum c^h_i p_i + d^h_i q_i,$$

where $c^h_i,d^h_i \in \mathbf{Z}$ depend only on $\tau$ and are independent of the $p_i$ and $q_i$. This is motivated by calculations in the $2$-step case and by the extension result; the conjecture asserts that the rank conditions arising from arbitrary compositions completely determine the relevant compositional variety for all partial flag supervarieties.