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math.AG2025
A decomposition theorem for Lefschetz modules
Omid Amini, June Huh, Matt Larson
A Lefschetz module is a module over a graded algebra that satisfies analogues of Poincaré duality, the Hard Lefschetz property, and the Hodge--Riemann relations with respect to…
math.AG2025
Tropical function fields, finite generation, and faithful tropicalization
Omid Amini, Shu Kawaguchi, JuAe Song
Given an algebraic variety defined over a discrete valuation field and a skeleton of its Berkovich analytification, the tropicalization process transforms function field of the var…