On the geometry of flag Hilbert-Poincar\'e series for matroids
On the geometry of flag Hilbert-Poincar\'e series for matroids
We extend the definition of coarse flag Hilbert--Poincar\'e series to matroids; these series arise in the context of local Igusa zeta functions associated to hyperplane arrangements. We study these series in the case of oriented matroids by applying geometric and combinatorial tools related to their topes. In this case, we …