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math.CO2026
The rank-nullity ring of a matroid
Tara Fife, Eline Mannino, Felipe Rincón
We introduce the rank-nullity ring of a matroid , which is a subring of the Chow ring of the permutahedral toric variety. This subring contains the tautological Chern classes of…
math.CO2023
Chern Numbers of Matroids
Eline Mannino
We define Chern numbers of a matroid. These numbers are obtained when intersecting appropriate matroid Chern-Schwartz-MacPherson cycles defined by López de Medrano, Rincón, and Sha…