3 papers
math.AG2025
The moduli space of tropical curves with fixed Newton polygon
Desmond Coles, Neelav Dutta, Sifan Jiang +2
Given a lattice polygon, we study the moduli space of all tropical plane curves with that Newton polygon. We determine a formula for the dimension of this space in terms of combina…
math.AG2025
Spherical tropical curves are balanced
Desmond Coles
One of the characterizing features of tropicalizations of curves in an algebraic torus is that they are balanced. Tevelev and Vogiannou introduced a spherical tropicalization map f…
math.AG2025
Towards the tropicalization of reductive groups
Desmond Coles, Martin Ulirsch
Let be a connected reductive algebraic group over an algebraically closed field of characteristic zero carrying the trivial valuation. In this article we discuss two candidates…