2 papers
math.AG2025
Mixed Eulerian numbers and beyond
Gaku Liu, Mateusz Michałek, Julian Weigert
We derive explicit formulas for the matroidal mixed Eulerian numbers. We resolve a question posed by Berget, Spink, and Tseng, demonstrating that the invariant defined by matroidal…
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…