5 problems

Cubic generation conjecture. The prime ideal $Q_G$ is generated by the $3\times 3$-subdeterminants of any two-dimensional table obtained by flattening the $n$-dimensional table…

Let a bitnet be a binary Bayesian network equipped with its Fisher information metric, and let $\langle R\rangle$ denote its volume-averaged Ricci scalar. Rodríguez's conjecture. F…

Expected-codimension and irreducibility conjecture. The variety $\mathcal{V}_{X,\mathcal{C}}$ has expected codimension $n$ inside $\mathcal{M}_\mathcal{C}$. It is positive-dimensio…

Gorenstein tree conjecture. The quotient ring $\mathbb{C}[\Sigma]/I_T$ is Gorenstein if and only if every vertex of $T$ has degree at most three.

Normality and Cohen–Macaulayness conjecture. The quotient ring