3 problems

Let $X_{2d+2}$ be a prime Fano threefold of genus $2d+2$ and let $Y_d$ be a del Pezzo threefold of degree $d$, where $1 eq d$? Actually $1leq dleq 5$. Let $cA{X{2d+2}}$ and…

Let $Y$ be a del Pezzo threefold, and let $E$ be an instanton bundle on $Y$, meaning a stable vector bundle of rank two with $c_1(E)=0$ and $H^1(Y,E(-1))=0$. A line $L\subset Y$ is…

Generic finiteness conjecture. The map $\varphi_{3,d}$ is generically finite onto its image; consequently, its image is a codimension $3$ closed subset of ${\mathcal M}_{2d+4}$.