3 problems

Let $\Delta\subset\mathbb{R}^2$ be a two-dimensional lattice polygon, and let $\Delta^{(1)}$ denote the convex hull of the interior lattice points of $\Delta$. Write…

Let $\Delta\subset\mathbb{R}^2$ be a two-dimensional lattice polygon. A regular subdivision $\Delta_1,\ldots,\Delta_r$ determines a metric graph $\Gamma(\Delta_1,\ldots,\Delta_r)$,…

Let $\Delta\subset\mathbb{R}^2$ be a two-dimensional lattice polygon. For a Laurent polynomial $f\in\mathbb{C}[x^{\pm 1},y^{\pm 1}]$, write $\Delta(f)$ for its Newton polygon, and…