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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…
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…
Degenerations of maps to projective spaces
Eduardo Esteves, Piere Rodriguez, Eduardo Vital
Degenerations of linear series on smooth projective varieties approaching multicomponent varieties give rise to certain quiver representations in the category of linear series…
Quiver representations arising from degenerations of linear series, II
Eduardo Esteves, Renan Santos, Eduardo Vital
We describe all the schematic limits of families of divisors associated to a given family of rank- linear series on a one-dimensional family of projective varieties degenerating…
Quiver representations arising from degenerations of linear series, I
Eduardo Esteves, Renan Santos, Eduardo Vital
We give a local characterization for when certain quiver representations in semisimple Abelian categories are semisimple, among them those arising from degenerations of linear seri…