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math.AG2025
Tropicalization of curve arrangement complements and arroids
Edvard Aksnes
We define arroids as an abstract axiom set encoding the intersection properties of arrangements of curves. The tropicalization of the complement of arrangement of curves meeting pa…
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…