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math.AG2024
Shellable slices of hyperbolic polynomials and the degree principle
Arne Lien, Robin Schabert
We study a natural stratification of certain affine slices of univariate hyperbolic polynomials. We look into which posets of strata can be realized and show that the dual of the p…
math.AG2023
Hyperbolic polynomials and starved polytopes
Arne Lien
We study sets of univariate hyperbolic polynomials that share the same first few coefficients and show that they have a natural combinatorial description akin to that of polytopes.…