Maximal Mumford Curves from Planar Graphs
arXiv:2404.11838 · doi:10.4310/PAMQ.250402030514
Abstract
A curve of genus g is maximal Mumford (MM) if it has g+1 ovals and g tropical cycles. We construct full-dimensional families of MM curves in the Hilbert scheme of canonical curves. This rests on first-order deformations of graph curves whose graph is planar.
arXiv comment22 pages