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arxiv: 0801.1452 · v2 · submitted 2008-01-09 · 🧮 math.AG · math.NT

A prime-to-p version of the Grothendieck anabelian conjecture for hyperbolic curves over finite fields of characteristic p>0

classification 🧮 math.AG math.NT
keywords versionanabeliancasecharacteristicconjecturecurvesfieldsfinite
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In this paper, we prove a prime-to-p version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields of characteristic p>0, whose original (full profinite) version was proved by Tamagawa in the affine case and by Mochizuki in the proper case.

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