84 citations · 266 across the 26 of their papers we have counts for
11 papers · 1 filter
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…
Matroid connectivity and singularities of configuration hypersurfaces
Graham Denham, Mathias Schulze, Uli Walther
Consider a linear realization of a matroid over a field. One associates with it a configuration polynomial and a symmetric bilinear form with linear homogeneous coefficients. The c…
Torsion in the homology of Milnor fibers of hyperplane arrangements
Graham Denham, Alexander Suciu
As is well-known, the homology groups of the complement of a complex hyperplane arrangement are torsion-free. Nevertheless, as we showed in a recent paper [arXiv:1209.3414] the hom…
Toric and tropical compactifications of hyperplane complements
Graham Denham
These lecture notes are based on lectures given by the author at the summer school "Arrangements in Pyrénées" in June 2012. We survey and compare various compactifications of compl…
Multinets, parallel connections, and Milnor fibrations of arrangements
Graham Denham, Alexander I. Suciu
The characteristic varieties of a space are the jump loci for homology of rank 1 local systems. The way in which the geometry of these varieties may vary with the characteristic of…