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arXiv · 1111.1354

Arithmetic in the fundamental group of a p-adic curve: On the p-adic section conjecture for curves

Florian Pop·Jakob Stix
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Abstract

We establish a valuative version of Grothendieck's section conjecture for curves over p-adic local fields. The image of every section is contained in the decomposition subgroup of a valuation which prolongs the p-adic valuation to the function field of the curve.

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Florian Pop, Jakob Stix. 2011-11-05. Arithmetic in the fundamental group of a p-adic curve: On the p-adic section conjecture for curves. https://arxiv.org/abs/1111.1354

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