A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917420815351808 |
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| author | Shamoto, Yota |
| author_facet | Shamoto, Yota |
| contents | Motivated by the work of Kontsevich-Soibelman on the comparison of isomorphisms conjecture for closed algebraic $1$-forms, we establish a Riemann-Hilbert correspondence of Deligne-Malgrange type.
As an application, we prove a variant of the comparison of isomorphisms theorem for a simple class of algebraic $1$-forms on complex curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17722 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms Shamoto, Yota Algebraic Geometry Motivated by the work of Kontsevich-Soibelman on the comparison of isomorphisms conjecture for closed algebraic $1$-forms, we establish a Riemann-Hilbert correspondence of Deligne-Malgrange type. As an application, we prove a variant of the comparison of isomorphisms theorem for a simple class of algebraic $1$-forms on complex curves. |
| title | A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.17722 |