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PreprintarXiv licencearXiv

Lifting mod pn Galois representations

Abstract

We generalize the results of Fakhruddin-Khare-Patrikis, which lift odd mod p Galois representations to geometric p-adic representations, to geometric lifting theorems for mod pn representations whose mod p reduction is odd.

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BibTeX
@misc{nikoloski2026lifting,
  title = {{Lifting mod $p^n$ Galois representations}},
  author = {Stefan Nikoloski and Stefan Patrikis},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23579},
  eprint = {2610.23579},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23579},
}
RIS
TY  - UNPB
TI  - Lifting mod p^n Galois representations
AU  - Stefan Nikoloski
AU  - Stefan Patrikis
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23579
UR  - https://arxiv.org/abs/2610.23579
AB  - We generalize the results of Fakhruddin-Khare-Patrikis, which lift odd mod p Galois representations to geometric p-adic representations, to geometric lifting theorems for mod p^n representations whose mod p reduction is odd.
ER  -