3 problems

Tropical Torelli conjecture. The map from the moduli space of tropical curves to $\mathcal{J}$ is tropical of degree $1$.

Let $C$ be a curve of support $I$ and Newton polygon $Delta$, and let $\Gamma$ be the refinement of the subdivision of $Delta$. Let $q_1,\ldots,q_{\delta-1}$ be points in $C$. The…

Let $P$ be a lattice polygon and let $\Gamma$ be a smooth tropical plane curve with Newton polygon $P$. The expected-gonality conjecture asserts that … Here…