4 problems

Holtz–Ron conjecture. The power ideal $C_{\mathcal A,-2}$ is generated by $\mathcal A$-monomials.

Holtz–Ron conjecture. The Main Theorem holds in the internal case, that is, for $k=-1$ and $J=\{X\}$.

Let $X$ be a finite list of vectors of rank $n$. Define the set of very short $X$-sets by … Let ${\cal P}_-(X)$ be the internal ${\cal P}$-space. Very short sets conjecture. For ev…

Let $X$ be a unimodular list of vectors, let $Z(X)$ be its zonotope, and let ${\cal Z}_-(X)$ be the set of integer points in the interior of $Z(X)$. Let $M_X$ be the box spline ass…