paper

Motivic principal value integrals for hyperplane arrangements

arXiv:2411.01305

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.

v2: to appear in Ann. Inst. Fourier