2 citations · 4 across the 7 of their papers we have counts for
8 papers
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…
Three lectures on tropical algebra
Jeffrey Giansiracusa, Kevin Kuehn, Stefano Mereta +1
This document is a slightly expanded version of a series of talks given by J. Giansiracusa at the workshop `Geometry over semirings' at Universitat Autònoma de Barcelona in July 20…
Neural Network for Subgrid Turbulence Modeling for Large Eddy Simulations
Eduardo Vital, Jean-Marc Gratien, Yassine Ayoun +2
When simulating multiscale systems, where some fields cannot be fully prescribed despite their effects on the simulation's accuracy, closure models are needed. This phenomenon is o…
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 matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and -points
Manoel Jarra, Oliver Lorscheid, Eduardo Vital
In this paper, we introduce morphisms for matroids with coefficients (in the sense of Baker and Bowler) and quiver matroids. We investigate their basic properties, such as functori…
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…