2 problems

Let $X\subset\mathbb{P}^4$ be a cubic threefold, let $Y\subset X$ be a hyperplane, and let $C\subset X$ be a smooth rational curve of degree $d$, with $X$, $Y$, and $C$ all general…

Let $Y$ be a smooth cubic threefold, let $S$ be a singular hyperplane section, and let $D$ be a Weil divisor on $S$ such that $\mathcal{O}_S(D)$ is a stable object parameterized by…