Aliev–Smyth's conjecture on isolated torsion points and Newton polytopes

Let $f\in\mathbb{C}[X_1,\ldots,X_n]$, let $Z(f)\subset\mathbb{G}_{\mathrm{m}}^n$ be its zero set, and let $\Delta$ be the Newton polytope of $f$. An isolated torsion point of $Z(f)$ is a torsion point that is isolated in this zero set. Aliev–Smyth's conjecture. The number of isolated torsion points on $Z(f)$ is bounded by $c_n\operatorname{vol}_n(\Delta)$, where $c_n$ is a constant depending only on $n$. This strengthens Ruppert's multidegree bound by replacing the product of the multidegrees with the volume of the Newton polytope; the source presents it as an open conjecture.