2 papers
math.CO2025
When alcoved polytopes add
Nick Early, Lukas Kühne, Leonid Monin
Alcoved polytopes are characterized by the property that all facet normal directions are parallel to the roots . Unlike other prominent families of polytopes, like general…
math.AG2025
Tropical Abel-Jacobi theory
Omid Amini, Daniel Corey, Leonid Monin
To a compact tropical variety of arbitrary dimension, we associate a collection of intermediate Jacobians defined in terms of tropical homology and tropical monodromy. We then deve…