Moduli of Stokes torsors and singularities of differential equations - Université Paris Cité Access content directly
Journal Articles Journal of the European Mathematical Society Year : 2022

Moduli of Stokes torsors and singularities of differential equations

Abstract

Let M be a meromorphic connection with poles along a smooth divisor D in a smooth algebraic variety. Let Sol M be the solution complex of M. We prove that the good formal decomposition locus of M coincides with the locus where the restrictions to D of Sol M and Sol End M are local systems. By contrast to the very different natures of these loci (the first one is defined via algebra, the second one is defined via analysis), the proof of their coincidence is geometric. It relies on the moduli of Stokes torsors.
Fichier principal
Vignette du fichier
JEMSPubli.pdf (587.94 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01697776 , version 1 (31-01-2018)
hal-01697776 , version 2 (06-04-2018)
hal-01697776 , version 3 (07-03-2019)
hal-01697776 , version 4 (26-04-2022)

Identifiers

Cite

Jean-Baptiste Teyssier. Moduli of Stokes torsors and singularities of differential equations. Journal of the European Mathematical Society, 2022. ⟨hal-01697776v4⟩
153 View
186 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More