论文标题

图形的坐标空间:接近内部面

Coordinate spaces of graphs: approaching interior faces

论文作者

Bogatyrev, A. B.

论文摘要

我们考虑了实际属的两个曲线的模量空间的细胞分解,在唯一的实际椭圆形上具有明显的点。这些细胞由某些图表列出,其权重描述了曲线上的复杂结构。我们表明,图的边缘的崩溃会导致根部从图形重量到曲线模量空间的自然映射的奇异性。

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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