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 $\mathbf{k}$ be an algebraically closed field of characteristic $p>0$, let $R=\mathbf{k}[x_1,\ldots,x_n,y_1,\ldots,y_n]$, let $I$ be the ideal generated by the $2\times 2$ mino…

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…