Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions

  • We generalize our work on Carlitz prime power torsion extension to torsion extensions of Drinfeld modules of arbitrary rank. As in the Carlitz case, we give a description of these extensions in terms of evaluations of Anderson generating functions and their hyperderivatives at roots of unity. We also give a direct proof that the image of the Galois representation attached to the p-adic Tate module lies in the p-adic points of the motivic Galois group. This is a generalization of the corresponding result of Chang and Papanikolas for the t-adic case.

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Metadaten
Author:Andreas MaurischatORCiD, Rudolph Perkins
DOI:https://doi.org/10.1142/S1793042122500099
Publisher:World Scientific
Place of publication:Singapur
Document Type:Article
Language:English
Year of Completion:2020
Issue:Vol. 18, No. 01
Length:18
First Page:113
Last Page:130
Link:https://doi.org/10.1142/S1793042122500099
Zugriffsart:weltweit
Institutes:FH Aachen / Fachbereich Luft- und Raumfahrttechnik
collections:Verlag / World Scientific