Coordinate spaces of graphs: approaching interior faces
Complex Variables
2020-11-24 v2
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.
Keywords
Cite
@article{arxiv.2009.11822,
title = {Coordinate spaces of graphs: approaching interior faces},
author = {A. B. Bogatyrev},
journal= {arXiv preprint arXiv:2009.11822},
year = {2020}
}
Comments
14 pages, 3 figures