2 problems

Let $X$ be a smooth complex variety and $Y\subset X$ a smooth subvariety of codimension $r$ defined by a regular section of an ample vector bundle on $X$. Let $Z$ be a variety and…

Let $V_d\fieldsubset {\fieldmathbb P}$ be a smooth hypersurface of degree $d\fieldleq M$, where $d\fieldgeq [(M+5)/2]$; then $V_d$ is a Fano variety of index $r=M+2-d$. Let…