Relative Regular Riemann-Hilbert correspondence II

Fuente: arXiv
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Autori principali: Fiorot, Luisa, Fernandes, Teresa Monteiro, Sabbah, Claude
Natura: Preprint
Pubblicazione: 2022
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author Fiorot, Luisa
Fernandes, Teresa Monteiro
Sabbah, Claude
author_facet Fiorot, Luisa
Fernandes, Teresa Monteiro
Sabbah, Claude
contents We develop the theory of relative regular holonomic D-modules with a smooth complex manifold S of arbitrary dimension as parameter space, together with their main functorial properties. In particular, we establish in this general setting the relative Riemann-Hilbert correspondence proved in a previous work in the one-dimensional case.
format Preprint
id arxiv_https___arxiv_org_abs_2203_05444
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Relative Regular Riemann-Hilbert correspondence II
Fiorot, Luisa
Fernandes, Teresa Monteiro
Sabbah, Claude
Algebraic Geometry
Complex Variables
14F10, 32C38, 32S40, 32S60, 35Nxx, 58J10
We develop the theory of relative regular holonomic D-modules with a smooth complex manifold S of arbitrary dimension as parameter space, together with their main functorial properties. In particular, we establish in this general setting the relative Riemann-Hilbert correspondence proved in a previous work in the one-dimensional case.
title Relative Regular Riemann-Hilbert correspondence II
topic Algebraic Geometry
Complex Variables
14F10, 32C38, 32S40, 32S60, 35Nxx, 58J10
url https://arxiv.org/abs/2203.05444