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math.AG2026
On the Hilbert polynomial of the linked projective space
Felipe De León, Eduardo Esteves, Eduardo Vital
Linked projective spaces are quiver Grassmannians of subspaces of dimension 1 of certain quiver representations. Degenerations of linear series produce these representations, with…
math.AG2026
Asymptotic Behavior of Tropical Rank Functions
Ana Maria Botero, Alex Küronya, Eduardo Vital
We show that the asymptotic behavior of the two main competing notions of rank of a linear series on a tropical curve is governed by asymptotic invariants, closely paralleling the…