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arXiv · 2404.11838

Maximal Mumford Curves from Planar Graphs

Mario Kummer·Bernd Sturmfels·Raluca Vlad
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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.

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Mario Kummer, Bernd Sturmfels, Raluca Vlad. 2024-04-18. Maximal Mumford Curves from Planar Graphs. https://doi.org/10.4310/pamq.250402030514

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