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arXiv · 2606.12220

Modular variants of p-adic fundamental sequence

Heng Du·Qingyuan Jiang·Yucheng Liu
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Abstract

In this article, we relate any Farey triangle in the extended upper half-plane to a variant of Colmez--Fontaine's fundamental lemma in $p$-adic Hodge theory. In particular, their original fundamental lemma corresponds to the fundamental Farey triangle $(\frac{1}{0},\frac{1}{1},\frac{0}{1})$.

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Heng Du, Qingyuan Jiang, Yucheng Liu. 2026-06-10. Modular variants of p-adic fundamental sequence. https://arxiv.org/abs/2606.12220

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