The fullness conjecture for exceptional collections on orthogonal Grassmannians

Let ${\mathsf{OGr}}(k,V)$ be an orthogonal Grassmannian, and let the collections in the source be the semiorthogonal collections constructed in Theorems~,, and~. The orthogonal Grassmannian fullness conjecture. The collections constructed in those theorems are full. The preceding theorems establish exceptional blocks and semiorthogonality for the relevant orthogonal Grassmannians; the remaining assertion is fullness, and the supplied text does not state that it has been proved.