Planar Tropical Cubic Curves of Any Genus, and Higher Dimensional Generalisations

Benoît Bertrand, Erwan Brugallé, Lucía López de Medrano

We study the maximal values of Betti numbers of tropical subvarieties of a given dimension and degree in ${\mathbb{TP}}^n$. We provide a lower estimate for the maximal value of the t…