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arXiv · 2609.14164

Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences

Yutaro Matsuno
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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.

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Yutaro Matsuno. 2026-09-12. Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences. https://arxiv.org/abs/2609.14164

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