4 problems

Let ${\mathcal T}$ be a rational normal scroll of dimension $5$ in ${\mathbf P}^g$, and let ${\mathcal M}({\mathcal T},c)$ denote the set of projective models of $K3$ surfaces $S$…

Let $C$ be a canonical curve with a $g^1_k$, and write the bundles in its relative canonical resolution as … The integers $a_j^{(i)}$ are the twists in the splitting of $N_i$. Nonn…

Balancedness conjecture. If the genus $g$ is large compared to $k$, then the bundles $N_i$ are balanced. Determining their splitting types is an open problem, and the conjecture co…

Let $S$ be a rational normal scroll with defining matrix $\mathcal A$. Write $\mathcal U_{\mathcal A}$ for the universal Gröbner basis and $\mathcal Gr_{\mathcal A}$ for the Graver…