The moduli space of tropical curves with fixed Newton polygon
18 Oct 2020
•
Coles Desmond
•
Dutta Neelav
•
Jiang Sifan
•
Morrison Ralph
•
Scharf Andrew
Given a lattice polygon, we study the moduli space of all tropical plane
curves with that Newton polygon. We determine a formula for the dimension of
this space in terms of combinatorial properties of that polygon...We prove that
if this polygon is nonhyperelliptic or maximal and hyperelliptic, then this
formula matches the dimension of the moduli space of nondegenerate algebraic
curves with that given Newton polygon.(read more)