3 problems

Let $X_w^v$ be a Richardson variety in the Grassmannian, let $G_{k,n,\ell}|_w^v$ be the corresponding restricted set of relations, and let…

Let $J_1$ and $J_2$ be the ideals under consideration, with $J_1$ monomial-free. Quadratic-generation conjecture. If $J_1$ is monomial-free, then $J_2$ is quadratically generated.…

Let ${\mathcal{M}}$ be a positroid, and let an ordered pair $(I,J)$ of $k$-element subsets be ${\mathcal{M}}$-standard if $I=\pi_k(x)$ and $J=\pi_k(y)$ for some…