2 problems

Let $\Gamma$ be the set of points in symmetric position considered in the preceding higher Castelnuovo conjecture, and let $\mathcal I_\Gamma$ be its ideal sheaf. Write…

Higher Castelnuovo conjecture. Then $\Gamma$ lies on a curve $D$ of degree at most $n+m-2$. This is related to the Eisenbud–Harris conjecture for curves: the cases $m=1$ and $m=2$…