On the section conjecture of Grothendieck

Details On the section conjecture of Grothendieck On the section conjecture of Grothendieck

2009-11-09

arxiv.org/abs/0911.1523v4

Mathematics

Algebraic Geometry

22 pages. Made Changes in Page 4, Def 2.3; Page 5, "essential equal". Deleted Page 6, footnote. Removed Typos: "integral schem

Scientific paper

For a given arithmetic scheme, in this paper we will introduce and discuss
the monodromy action on a universal cover of the \'etale 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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