Maximal Mumford Curves from Planar Graphs

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Mario Kummer, Bernd Sturmfels and Raluca Vlad: Maximal Mumford Curves from Planar Graphs

ARXIV: coming soon

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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