2 problems

Let $G$ be an abelian group acting in a CI-GIT presentation, and let $Y\mathord{/{\mkern-6mu/}}G$ be the corresponding quotient with projective coarse moduli space. Let…

Let $X$ be a smooth projective variety, let $E$ be a convex vector bundle on $X$, and let $s$ be a regular section whose zero locus $Z=\{s=0\}\subset X$ is a smooth projective vari…