Motivic principal value integrals for hyperplane arrangements
Algebraic Geometry
2026-03-30 v2
Abstract
A conjecture of Denef-Jacobs-Veys relates motivic principal value integrals of multivalued rational top-forms with cohomology support loci of rank one local systems. We give a stronger positive answer to this conjecture for hyperplane arrangements.
Keywords
Cite
@article{arxiv.2411.01305,
title = {Motivic principal value integrals for hyperplane arrangements},
author = {Nero Budur and Quan Shi and Huaiqing Zuo},
journal= {arXiv preprint arXiv:2411.01305},
year = {2026}
}
Comments
v2: to appear in Ann. Inst. Fourier