A Deligne-Malgrange Riemann-Hilbert correspondence for closed 1-forms

Fuente: arXiv
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Autore principale: Shamoto, Yota
Natura: Preprint
Pubblicazione: 2026
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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