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Coordinate spaces of graphs: approaching interior faces (2009.11822v2)
Published 24 Sep 2020 in math.CV
Abstract: We consider the cell decomposition of the moduli space of real genus two curves with a marked point on the only real oval. The cells are enumerated by certain graphs with their weights describing the complex structure on a curve. We show that collapse of the edge of the graph results in a root like singularity of the natural mapping from the graph weights to the moduli space of curves.
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