Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink

TL;DR

This paper develops a motivic analogue of Steenbrink's conjecture on hypersurface singularities using advanced tools like iterated vanishing cycles and convolution, advancing the understanding of singularity spectra.

Contribution

It introduces a motivic framework for Steenbrink's conjecture, providing a new perspective and proof techniques for hypersurface singularities.

Findings

Established a motivic version of Steenbrink's conjecture

Connected vanishing cycles and convolution in a novel way

Enhanced the understanding of hypersurface singularity spectra

Abstract

Using iterated vanishing cycles and convolution, we prove a motivic version of a conjecture of Steenbrink concerning the spectrum of hypersurface singularities