Davis–Erman–Martinova conjecture on nonstandard Veronese subrings

Let $S$ be a nonstandard graded polynomial ring, and for a positive integer $e$ let $S^{(e)}$ denote its $e$-th Veronese subring. A graded algebra is nonstandard Koszul when it has the corresponding linear-resolution property with respect to its nonstandard grading. Davis–Erman–Martinova conjecture. For sufficiently large $e$, the Veronese subring $S^{(e)}$ is a nonstandard Koszul algebra. The conjecture extends the standard graded fact that Veronese subrings are Koszul and is motivated by using linear resolutions of truncations as a route to proving Koszulness; the source supplies no resolution status.