Geometry of tropical moduli spaces and linkage of graphs
Algebraic Geometry
2011-11-18 v5 Combinatorics
Abstract
We prove the following "linkage" theorem: two p-regular graphs of the same genus can be obtained from one another by a finite alternating sequence of one-edge-contractions; moreover this preserves 3-edge-connectivity. We use the linkage theorem to prove that various moduli spaces of tropical curves are connected through codimension one.
Keywords
Cite
@article{arxiv.1001.2815,
title = {Geometry of tropical moduli spaces and linkage of graphs},
author = {Lucia Caporaso},
journal= {arXiv preprint arXiv:1001.2815},
year = {2011}
}
Comments
Final version incorporating the referees corrections