Riemann-Hilbert correspondence for Alexander complexes

Lei Wu

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arXiv · 2104.06941

Riemann-Hilbert correspondence for Alexander complexes

Lei Wu

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Abstract

We establish a relative Riemann-Hilbert correspondence for Alexander complexes (also known as Sabbah specialization complexes) by using relative regular holonomic $\mathscr D$-modules in an equivariant way, which particularly gives a "global" approach to the correspondence for Deligne's nearby cycles. Using the correspondence and zero loci of Bernstein-Sato ideals, we obtain a formula for the relative support of the Alexander complexes.

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Lei Wu. 2021-04-14. Riemann-Hilbert correspondence for Alexander complexes. https://arxiv.org/abs/2104.06941

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