Geometry of tropical moduli spaces and linkage of graphs

Details Geometry of tropical moduli spaces and linkage of graphs Geometry of tropical moduli spaces and linkage of graphs

2010-01-16

arxiv.org/abs/1001.2815v5

Mathematics

Algebraic Geometry

Final version incorporating the referees corrections

Scientific paper

10.1016/j.jcta.2011.11.011

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.

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