4 problems

Let $X$ be a variety in a nonsingular affine space $A$, and let $Y$ be a generic link of $X$. Set … Assume that $X$ is MJ-canonical. MJ-canonicity conjecture. Then $Z$ is also MJ-c…

Niu's generic-linkage conjecture. The variety $Y$ is also a local complete intersection with log canonical singularities.

The author's finite-step convergence conjecture. After finitely many steps of a generic link sequence, one has

Let $S=\operatorname{Spec} R$ be a regular affine scheme over $k$, and let $X\subset S$ be a subscheme defined by $I=(z_1,\ldots,z_t)$ of codimension $r$. Let…