3 papers
math.AG2026
Tropical resolutions of configuration hypersurfaces
Daniel Bath, Graham Denham, Mathias Schulze +1
Configuration polynomials generalize the Kirchhoff polynomial of a graph, as well as the Symanzik polynomials that appear in the denominators of Feynman integrands. The configurati…
math.CO2026
Cleanliness and the Varchenko-Gelfand algebra
Graham Denham, Galen Dorpalen-Barry, Nicholas Proudfoot
A central question in the theory of hyperplane arrangements is when the complement of a complex arrangement is aspherical. Barkley and Speyer introduced a class of real arrangement…
math.CO2026
Tree metrics and log-concavity for matroids
Federico Ardila-Mantilla, Sergio Cristancho, Graham Denham +3
We show that a set function satisfies the gross substitutes property if and only if its homogeneous generating polynomial is a Lorentzian polynomial for all positiv…