64 citations · 178 across the 18 of their papers we have counts for
4 papers · 1 filter
Universal Tutte characters via combinatorial coalgebras
Clément Dupont, Alex Fink, Luca Moci
The Tutte polynomial is the most general invariant of matroids and graphs that can be computed recursively by deleting and contracting edges. We generalize this invariant to any cl…
Polyhedra and parameter spaces for matroids over valuation rings
Alex Fink, Luca Moci
In this paper we address two of the major foundational questions in the theory of matroids over rings. First, we provide a cryptomorphic axiomatisation, by introducing an analogue…
Schubert polynomials as integer point transforms of generalized permutahedra
Alex Fink, Karola Mészáros, Avery St. Dizier
We show that the dual character of the flagged Weyl module of any diagram is a positively weighted integer point transform of a generalized permutahedron. In particular, Schubert a…
A Gröbner basis for the graph of the reciprocal plane
Alex Fink, David E Speyer, Alexander Woo
Given the complement of a hyperplane arrangement, let be the closure of the graph of the map inverting each of its defining linear forms. The characteristic polynomial manifest…