4 papers · 1 filter
Level structures on tropical abelian varieties
Eran Assaf, Madeline Brandt, Juliette Bruce +2
We introduce level structures on tropical abelian varieties and give a modular interpretation of , the tropicalization of the moduli space $\mathcal{A}_g[m]…
Tropicalizations of locally symmetric varieties
Eran Assaf, Madeline Brandt, Juliette Bruce +2
This paper provides a rigorous study of tropicalizations of locally symmetric varieties. We give applications beyond tropical geometry, to the cohomology of moduli spaces as well a…
Maximal Mumford Curves from Planar Graphs
Mario Kummer, Bernd Sturmfels, Raluca Vlad
A curve of genus g is maximal Mumford (MM) if it has g+1 ovals and g tropical cycles. We construct full-dimensional families of MM curves in the Hilbert scheme of canonical curves.…
Moduli dimensions of lattice polygons
Marino Echavarria, Max Everett, Shinyu Huang +5
Given a lattice polygon with interior lattice points, we associate to it the moduli space of tropical curves of genus with Newton polygon . We completely classify th…