84 citations · 266 across the 26 of their papers we have counts for
29 papers
On Ziegler's conjectures for logarithmic derivations of arrangements
Takuro Abe, Graham Denham
In his paper and thesis in 1989, Ziegler posed several conjectures regarding commutative algebra related to hyperplane arrangements. In this article, we revisit two of them. One is…
Deletion-Restriction for Logarithmic Forms on Multiarrangements
Takuro Abe, Graham Denham
We consider the behaviour of logarithmic differential forms on arrangements and multiarrangements of hyperplanes under the operations of deletion and restriction, extending early w…
Monte Carlo simulations of phonon propagation in the Fermi-sea of Weyl spinors and detection of hysteresis effects using Groupoids
Sadataka Furui, Serge Dos Santos
We considered symplectic quaternions sitting on a lattice in momentum space which interact with nearest neighbor interactions. The action is expressed by fixed point actio…
Lagrangian combinatorics of matroids
Federico Ardila, Graham Denham, June Huh
The Lagrangian geometry of matroids was introduced in [ADH20] through the construction of the conormal fan of a matroid M. We used the conormal fan to give a Lagrangian-geometric i…
Configuration polynomials under contact equivalence
Graham Denham, Delphine Pol, Mathias Schulze +1
Configuration polynomials generalize the classical Kirchhoff polynomial defined by a graph. Their study sheds light on certain polynomials appearing in Feynman integrands. Contact…
Graph hypersurfaces with torus action and a conjecture of Aluffi
Graham Denham, Delphine Pol, Mathias Schulze +1
Generalizing the star graphs of Müller-Stach and Westrich, we describe a class of graphs whose associated graph hypersurface is equipped with a non-trivial torus action. For such g…