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math.CO2026
A note on bounded ratios
Lorenzo Baldi, Mario Kummer
We prove that the set of bounded ratios $\BR(X)$ on a semialgebraic set is the convex cone of linear forms that are nonnegative on the tropicalization $\trop(X)…
math.AG2026
Stubborn Polynomials
Lorenzo Baldi, Grigoriy Blekherman, Khazhgali Kozhasov +3
The relationship between nonnegative polynomials and sums of squares is a classical topic in real algebraic geometry. We study \emph{stubborn polynomials} on a real variety …