Divisors on matroids and their volumes

  title={Divisors on matroids and their volumes},
  author={C. Eur},
  journal={J. Comb. Theory, Ser. A},
  • C. Eur
  • Published 2020
  • Mathematics, Computer Science
  • J. Comb. Theory, Ser. A
  • The classical volume polynomial in algebraic geometry measures the degrees of ample (and nef) divisors on a smooth projective variety. We introduce an analogous volume polynomial for matroids, and give a complete combinatorial formula. For a realizable matroid, we thus obtain an explicit formula for the classical volume polynomial of the associated wonderful compactification. We then introduce a new invariant called the volume of a matroid as a particular specialization of its volume polynomial… CONTINUE READING
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