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.
| 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 |
| Date of the Publication (Server): | 2020/08/26 |
| 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 |
