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
Dies ist die neueste Version dieses Eintrags.
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 |
| Zugehörige Links: | |
| 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 |
| Zugehörige Links: | |
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| Suche nach Titel in: | TUfind oder in Google |
Verfügbare Versionen dieses Eintrags
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Wildly ramified rigid G₂‐local systems. (deposited 09 Feb 2024 14:12)
- Wildly ramified rigid G₂‐local systems. (deposited 13 Feb 2024 15:07) [Gegenwärtig angezeigt]
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