Hilbert polynomials for finitary matroids

Antongiulio Fornasiero, Elliot Kaplan

We consider a tuple $\Phi =({\varphi }_1,\dots ,{\varphi }_m)$ of commuting maps on a finitary matroid $X$. We show that if $\Phi$ satisfies certain conditions, then for any finite set $A\subseteq X$, the…