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Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences
Abstract
We construct a big Witt theory associated with coefficient-multiplicative normalized σ-twisted Lubin-Tate formal groups. The resulting F-big Witt ring extends Hazewinkel's ramified q-typical Witt theory and recovers the usual big Witt ring in the multiplicative case. We also introduce Fleck operators defined from iterated Coleman traces and prove Lubin-Tate analogues of the Fleck-Sun-Wan congruences for both positive and negative powers. By relating the Lubin-Tate Coleman theory to the F-big Witt theory, we obtain a Coleman F-norm whose integrality yields congruences among the corresponding Fleck coefficients.
Related
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BibTeX
@misc{matsuno2026twisted,
title = {{Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences}},
author = {Yutaro Matsuno},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14164},
eprint = {2609.14164},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14164},
}
RIS
TY - UNPB
TI - Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences
AU - Yutaro Matsuno
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2609.14164
UR - https://arxiv.org/abs/2609.14164
AB - We construct a big Witt theory associated with coefficient-multiplicative normalized σ-twisted Lubin-Tate formal groups. The resulting F-big Witt ring extends Hazewinkel's ramified q-typical Witt theory and recovers the usual big Witt ring in the multiplicative case. We also introduce Fleck operators defined from iterated Coleman traces and prove Lubin-Tate analogues of the Fleck-Sun-Wan congruences for both positive and negative powers. By relating the Lubin-Tate Coleman theory to the F-big Witt theory, we obtain a Coleman F-norm whose integrality yields congruences among the corresponding Fleck coefficients.
ER -