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Wildly ramified rigid G₂‐local systems

Jakob, Konstantin (2024)
Wildly ramified rigid G₂‐local systems.
In: Bulletin of the London Mathematical Society, 2023, 55 (5)
doi: 10.26083/tuprints-00024662
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Wildly ramified rigid G₂‐local systems
Language: English
Date: 9 February 2024
Place of Publication: Darmstadt
Year of primary publication: 2023
Place of primary publication: Hoboken
Publisher: Wiley
Journal or Publication Title: Bulletin of the London Mathematical Society
Volume of the journal: 55
Issue Number: 5
DOI: 10.26083/tuprints-00024662
Corresponding Links:
Origin: Secondary publication DeepGreen
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.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-246625
Additional Information:

MSC 2020: 20G41, 14F06 (primary)

Classification DDC: 500 Science and mathematics > 510 Mathematics
Divisions: 04 Department of Mathematics > Algebra
Date Deposited: 09 Feb 2024 14:12
Last Modified: 09 Feb 2024 14:12
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/24662
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