On the geometry of flag Hilbert–Poincaré series for matroids

نویسندگان

چکیده

We extend the definition of coarse flag Hilbert–Poincaré series to matroids; these arise in context local Igusa zeta functions associated hyperplane arrangements. study case oriented matroids by applying geometric and combinatorial tools related their topes. In this case, we prove that numerators are coefficient-wise bounded below Eulerian polynomial equality holds if only all topes simplicial. Moreover yields a sufficient criterion for non-orientability arbitrary rank.

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ژورنال

عنوان ژورنال: Algebraic combinatorics

سال: 2023

ISSN: ['2589-5486']

DOI: https://doi.org/10.5802/alco.276