3 problems

Let $G=(V,E)$ be a directed acyclic graph, let $S$ be the covariance matrix and $T$ the third-order moment tensor of the model $\mathcal M^{\leq 3}(G)$, and for each $v\in V$ let…

Let $X\subset\mathbb{R}^n$ and let $\mathcal{R}_n$ denote the polynomial ring in $n$ variables. For a set $G\subset\mathcal{R}_n$, write $G^{\mathrm{deg}(g)-1}$ for the relevant de…

Let $K=\mathbb{F}_q$ be a finite field, let $\mathbb{Y}$ be a subset of $\mathbb{P}^{s-1}$, and let $I(\mathbb{Y})$ denote its vanishing ideal. A projective set is parameterized by…