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math.CO2026
Polar Degrees of Matroids
Clara Briand, Leonie Kayser, Julian Weigert
We show that the polar degrees of the coordinate-wise inverse of a linear subspace are given by the coefficients of a substitution of the reduced charact…
math.CO2025
White's conjecture for matroids and inner projections
Kangjin Han, Mateusz Michałek, Julian Weigert
White's conjecture predicts quadratic generators for the ideal of any matroid base polytope. We prove that White's conjecture for any matroid implies it also for any matroid $M…