3 papers
math.CO2025
Shi arrangements restricted to Weyl cones
Galen Dorpalen-Barry, Christian Stump
We consider the restrictions of Shi arrangements to Weyl cones, their relations to antichains in the root poset, and their intersection posets. For any Weyl cone, we provide biject…
math.CO2024
The Poincaré-extended ab-index
Galen Dorpalen-Barry, Joshua Maglione, Christian Stump
Motivated by a conjecture concerning Igusa local zeta functions for intersection posets of hyperplane arrangements, we introduce and study the Poincaré-extended ab-index, which ge…
math.DG2024
A Hodge filtration of logarithmic vector fields for well-generated complex reflection groups
Takuro Abe, Gerhard Röhrle, Christian Stump +1
Given an irreducible well-generated complex reflection group, we construct an explicit basis for the module of vector fields with logarithmic poles along its reflection arrangement…