4 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
Weierstrass gap sequences and their weights on tropical curves
Omid Amini, Shu Kawaguchi
Given a divisor on a tropical curve, we associate to each point of the curve a Weierstrass gap sequence. We investigate structural properties of these gap sequences and explore the…
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…
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…
Limit canonical series
Omid Amini, Eduardo Esteves, Eduardo Garcez
We describe the limits of canonical series along families of curves degenerating to a nodal curve which is general for its topology, in the weak sense that the branches over nodes…
Feynman Amplitudes and Limits of Heights
Omid Amini, Spencer Bloch, José I. Burgos Gil +1
We investigate from a mathematical perspective how Feynman amplitudes appear in the low-energy limit of string amplitudes. In this paper, we prove the convergence of the integrands…