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Wildly ramified rigid G₂‐local systems

Jakob, Konstantin (2023)
Wildly ramified rigid G₂‐local systems.
In: Bulletin of the London Mathematical Society, 55 (5)
doi: 10.1112/blms.12881
Artikel, Bibliographie

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Kurzbeschreibung (Abstract)

In earlier work of the author, rigid irregular connections with differential Galois group G₂ and whose slopes have numerator 1 were classified and new rigid connections were constructed. The same construction can be carried out for ℓ‐adic local systems in the setting of positive characteristic. In this article, we provide the results that are needed to obtain the classification of wildly ramified rigid G₂‐local systems whose slopes have numerator 1. The overall strategy of the classification is very similar but the methods needed to obtain some invariants differ.

Typ des Eintrags: Artikel
Erschienen: 2023
Autor(en): Jakob, Konstantin
Art des Eintrags: Bibliographie
Titel: Wildly ramified rigid G₂‐local systems
Sprache: Englisch
Publikationsjahr: 2023
Ort: Hoboken
Verlag: Wiley
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Bulletin of the London Mathematical Society
Jahrgang/Volume einer Zeitschrift: 55
(Heft-)Nummer: 5
DOI: 10.1112/blms.12881
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Kurzbeschreibung (Abstract):

In earlier work of the author, rigid irregular connections with differential Galois group G₂ and whose slopes have numerator 1 were classified and new rigid connections were constructed. The same construction can be carried out for ℓ‐adic local systems in the setting of positive characteristic. In this article, we provide the results that are needed to obtain the classification of wildly ramified rigid G₂‐local systems whose slopes have numerator 1. The overall strategy of the classification is very similar but the methods needed to obtain some invariants differ.

Zusätzliche Informationen:

MSC 2020: 20G41, 14F06 (primary)

Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 510 Mathematik
Fachbereich(e)/-gebiet(e): 04 Fachbereich Mathematik
04 Fachbereich Mathematik > Algebra
Hinterlegungsdatum: 13 Feb 2024 15:07
Letzte Änderung: 07 Mär 2024 14:47
PPN: 516076310
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