2 problems

Let $n\ge3$ and let $I_n=\langle p_n,q_n\rangle\subset\mathbf Z[z,t]$, with $p_n$ and $q_n$ as defined in the paper. The intersection $I_n\cap\mathbf Z[t]$ is an ideal of…

Let $\mathcal{I}_{h,n}$ be a family of polynomial ideals in the variables $X_1,\ldots,X_n$, and let $e_i(\mathbf{X}_n)$ denote the elementary symmetric polynomials. The family is r…