Remarks on rigid irreducible meromorphic connections on the projective line

Claude Sabbah

doi:10.4171/dm/937

Remarks on rigid irreducible meromorphic connections on the projective line

Claude Sabbah

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

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Résumé

We illustrate the Arinkin–Deligne–Katz algorithm for rigid irreducible meromorphic bundles with connection on the projective line by giving motivicity consequences similar to those given by Katz (1996) for rigid local systems.

langue originale	Anglais
Pages (de - à)	1473-1492
Nombre de pages	20
journal	Documenta Mathematica
Volume	28
Numéro de publication	6
Les DOIs	https://doi.org/10.4171/dm/937
état	Publié - 1 janv. 2023

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10.4171/dm/937

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title = "Remarks on rigid irreducible meromorphic connections on the projective line",

abstract = "We illustrate the Arinkin{\textendash}Deligne{\textendash}Katz algorithm for rigid irreducible meromorphic bundles with connection on the projective line by giving motivicity consequences similar to those given by Katz (1996) for rigid local systems.",

keywords = "Meromorphic bundle with connection, Stokes filtration, exponential-geometric origin, irreducible, quasi-unipotent, rigid",

author = "Claude Sabbah",

note = "Publisher Copyright: {\textcopyright} 2023 Deutsche Mathematiker-Vereinigung.",

year = "2023",

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doi = "10.4171/dm/937",

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AB - We illustrate the Arinkin–Deligne–Katz algorithm for rigid irreducible meromorphic bundles with connection on the projective line by giving motivicity consequences similar to those given by Katz (1996) for rigid local systems.

KW - Meromorphic bundle with connection

KW - Stokes filtration

KW - exponential-geometric origin

KW - irreducible

KW - quasi-unipotent

KW - rigid

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DO - 10.4171/dm/937

M3 - Article

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JO - Documenta Mathematica

JF - Documenta Mathematica

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Remarks on rigid irreducible meromorphic connections on the projective line

Résumé

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