3 papers
math.AG2026
Tropical Weierstrass points and Weierstrass weights
Omid Amini, Lucas Gierczak, Harry Richman
In this paper, we study tropical Weierstrass points. These are the analogues for tropical curves of ramification points of line bundles on algebraic curves. For a divisor on a trop…
math.AG2025
Cohomologically tropical varieties
Edvard Aksnes, Omid Amini, Matthieu Piquerez +1
Given the tropicalization of a complex subvariety of the torus, we define a morphism between the tropical cohomology and the rational cohomology of their respective tropical compac…
math.AG2024
Limit linear series: combinatorial theory
Omid Amini, Lucas Gierczak
We develop a purely combinatorial theory of limit linear series on metric graphs. This will be based on the formalisms of hypercube rank functions and slope structures. We provide…