2 problems

Let $\mathcal{W}^{\vec{e}}_{\mathrm{BN}}$ be the Hurwitz–Brill–Noether locus associated with the splitting type $\vec{e}$, and let $r=h^0(\mathcal{O}(\vec{e}))-1$. Hurwitz–Brill–No…

Let $X$ be a smooth Calabi-Yau threefold and $L$ a globally generated, ample line bundle. For a surface $S\in |L|$, write $|L\mathbin{\vert}_S|$ for the restriction of the linear s…