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Nonabelian Chabauty for the Thrice-punctured Line over Cyclotomic Fields

Kim, Minhyong et al.
arXiv (All) · Papers
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number-theory
In this paper we study the motivic Chabauty--Kim method, which aims to determine the set of $S$-integral points of $\mathbb{P}^1\smallsetminus \{0,1,\infty\}$, over cyclotomic fields. We focus on the case $K=\mathbb{Q}(ζ_8)$ and $S=\left\{(1-ζ_8)\right\}$, where we obtain explicit polylogarithmic Ki
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