2 papers
math.AG2026
Affine hyperplane arrangements at finite distance
Anaëlle Pfister
We study the relative homology group of an affine hyperplane arrangement and its Poincaré dual, the cohomology at finite distance of the complement. We give an Orlik--Solomon-type…
math.CO2024
Differential Equations for Moving Hyperplane Arrangements
Anaëlle Pfister, Anna-Laura Sattelberger
We investigate Mellin integrals of products of hyperplanes, raised to an individual power each. We refer to the resulting functions as combinatorial correlators. We investigate the…