Moduli of tropical plane curves

Sarah Brodsky, Michael Joswig, Ralph Morrison, Bernd Sturmfels
2015 Research in the Mathematical Sciences  
We study the moduli space of metric graphs that arise from tropical plane curves. There are far fewer such graphs than tropicalizations of classical plane curves. For fixed genus g, our moduli space is a stacky fan whose cones are indexed by regular unimodular triangulations of Newton polygons with g interior lattice points. It has dimension 2g+1 unless g ≤ 3 or g = 7. We compute these spaces explicitly for g ≤ 5.
doi:10.1186/s40687-014-0018-1 fatcat:53niicyi5fe75hqxpcncar553a