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arxiv: 1708.08773 · v1 · pith:D52F4Q4Znew · submitted 2017-08-28 · 🧮 math.AG · math.NT

A refined version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields

classification 🧮 math.AG math.NT
keywords curvesfieldsfinitehyperbolicrefinedversionanabelianarithmetic
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In this paper we prove a refined version of a theorem by Tamagawa and Mochizuki on isomorphisms between (tame) arithmetic fundamental groups of hyperbolic curves over finite fields, where one "ignores" the information provided by a "small" set of primes.

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