3 problems

Let $k\geq 3$, let $g\geq 0$, and consider the polytope … A scrollar-invariant tuple is a tuple of positive integers $\mathbf e=(e_1,\dots,e_{k-1})$ with $e_1+\dots+e_{k-1}=g+k-1$.…

Scrollar-invariant tableau conjecture. The multiset of scrollar invariants of the partition $\lambda$ with respect to $\varphi$ is

Bujokas–Patel's conjecture. The multiset of splitting types of the syzygy bundles of a relative minimal resolution of a sufficiently general element of $\mathcal{H}_{d,g}$ is balan…