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arXiv · 0911.1523

On the section conjecture of Grothendieck

Feng-Wen An
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Abstract

For a given arithmetic scheme, in this paper we will introduce and discuss the monodromy action on a universal cover of the étale fundamental group and the monodromy action on an \emph{sp}-completion constructed by the graph functor, respectively; then by these results we will give a proof of the section conjecture of Grothendieck for arithmetic schemes.

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Feng-Wen An. 2009-12-20. On the section conjecture of Grothendieck. https://arxiv.org/abs/0911.1523

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