Counting Plane Tropical Curves via Lattice Paths in Polygons
Description:
A projective plane tropical curve is a proper immersion of a graph into the real Cartesian plane subject to some conditions such as that the images of all the edges must be lines with rational slopes. Two important combinatorial invariants of a projective plane tropical curve are its degree, d, and genus g. First, we explore Gathmann and Markwig's approach to the study of the moduli spaces of such curves and explain their proof that the number of projective plane tropical curves, counting mult…
more
Date:
December 2021
Creator:
Zhang, Yingyu
Partner:
UNT Libraries