PreprintarXiv licencearXiv
Non-liftability of the field of norms of the p-adic false Tate curve extension
Abstract
Let p≥3 be a prime number. We prove that the action of the Galois group on the field of norms of the p-adic false Tate curve extension Qp(ζp∞,p1/p∞) of Qp is not liftable to its Cohen ring with respect to any admissible coefficient field.
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BibTeX
@misc{yuan2026nonliftability,
title = {{Non-liftability of the field of norms of the $p$-adic false Tate curve extension}},
author = {Yijun Yuan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35006},
eprint = {2610.35006},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35006},
}
RIS
TY - UNPB
TI - Non-liftability of the field of norms of the p-adic false Tate curve extension
AU - Yijun Yuan
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35006
UR - https://arxiv.org/abs/2610.35006
AB - Let p≥3 be a prime number. We prove that the action of the Galois group on the field of norms of the p-adic false Tate curve extension Q_p(ζ_p^∞,p^1/p^∞) of Q_p is not liftable to its Cohen ring with respect to any admissible coefficient field.
ER -