Riemann-Hilbert correspondence for Alexander complexes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866917225790701568 |
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| author | Wu, Lei |
| author_facet | Wu, Lei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_06941 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Riemann-Hilbert correspondence for Alexander complexes Wu, Lei Algebraic Geometry Representation Theory 14F10, 13N10, 32C38, 32S60, 32S55, 14F43, 14L30 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. |
| title | Riemann-Hilbert correspondence for Alexander complexes |
| topic | Algebraic Geometry Representation Theory 14F10, 13N10, 32C38, 32S60, 32S55, 14F43, 14L30 |
| url | https://arxiv.org/abs/2104.06941 |