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Graphs on surfaces and curves over number fields
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Degeneration of graphs and moduli of curves A. B. Bogatyrevab a Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow b Lomonosov Moscow State University |
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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 an edge of the graph results in a root like singularity of the natural mapping from the graph weights to the moduli space of curves. Language: English |
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