3 problems

Ideal Generation Conjecture. The conjecture holds if

Let $\mathbb X$ be a general set of $s={d+1\choose 2}+k$ points in $\mathbb P^2$, where $0<k<d+1$, and let $I_{\mathbb X}$ be its defining ideal. The ideal generation conjecture st…

Let $\mathbb F$ be any field, and let … Let $J\lhd A$ be the ideal generated by $\{u,v,1-x^2,1-y^2\}$. Let $M$ be the matrix defined earlier in the source, and let…