---
res:
  bibo_abstract:
  - A bimatroid is a matroid-like generalization of the collection of regular minors
    of a matrix. In this article, we use the theory of Lorentzian polynomials to study
    the logarithmic concavity of natural sequences associated to bimatroids. Bimatroids
    can be used to characterize morphisms of matroids and this observation (originally
    due to Kung) allows us to prove a weak version of logarithmic concavity of the
    number of bases of a morphism of matroids. This is weaker than the original result
    by Eur and Huh; it nevertheless provides us with a new perspective on Mason's
    log-concavity conjecture for independent sets of matroids. We finally show that
    for realizable bimatroids, the regular minor polynomial is a volume polynomial.
    Applied to morphisms of matroids, this shows that the weak basis generating polynomial
    of a morphism is a volume polynomial; this confirms a conjecture of Eur--Huh for
    morphisms of nullity $\leq 1$ and gives an algebro-geometric explanation for Mason's
    log-concavity conjecture in the realizable case.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Felix
      foaf_name: Röhrle, Felix
      foaf_surname: Röhrle
  - foaf_Person:
      foaf_givenName: Martin
      foaf_name: Ulirsch, Martin
      foaf_surname: Ulirsch
      foaf_workInfoHomepage: http://www.librecat.org/personId=114697
  dct_date: 2024^xs_gYear
  dct_language: eng
  dct_title: Logarithmic concavity of bimatroids@
...