Maximal Mumford Curves from Planar Graphs
Algebraic Geometry
2025-04-03 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2404.11838,
title = {Maximal Mumford Curves from Planar Graphs},
author = {Mario Kummer and Bernd Sturmfels and Raluca Vlad},
journal= {arXiv preprint arXiv:2404.11838},
year = {2025}
}
Comments
22 pages