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arXiv:0911.1523 [math.AG]AbstractReferencesReviewsResources

On the section conjecture of Grothendieck

Feng-Wen An

Published 2009-11-09, updated 2009-12-20Version 4

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.

Comments: 22 pages. Made Changes in Page 4, Def 2.3; Page 5, "essential equal". Deleted Page 6, footnote. Removed Typos: "integral scheme" changed into "integral variety (-ies)" in Remark 5.8, Theorem 5.9, Lemma 5.10, and Page 15, section 6
Categories: math.AG, math.NT
Subjects: 14F35, 11G35
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