2 problems

Let $X$ be a smooth projective variety over a field $k$ of characteristic zero, and let $Y\subset X$ be a closed locally complete intersection subvariety of codimension $p$. Let…

Bloch's semi-regularity conjecture. The semi-regularity map annihilates every obstruction to embedded deformations of $Y$ in $X$. The conjecture concerns the obstruction theory of…