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.
| Verfasserangaben: | Andreas MaurischatORCiD, Rudolph Perkins |
|---|---|
| DOI: | https://doi.org/10.1142/S1793042122500099 |
| Verlag: | World Scientific |
| Verlagsort: | Singapur |
| Dokumentart: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Erscheinungsjahr: | 2020 |
| Datum der Publikation (Server): | 26.08.2020 |
| Ausgabe / Heft: | Vol. 18, No. 01 |
| Umfang: | 18 |
| Erste Seite: | 113 |
| Letzte Seite: | 130 |
| Link: | https://doi.org/10.1142/S1793042122500099 |
| Zugriffsart: | weltweit |
| Fachbereiche und Einrichtungen: | FH Aachen / Fachbereich Luft- und Raumfahrttechnik |
| collections: | Verlag / World Scientific |
