JournalsprimsVol. 45 , No. 1DOI 10.2977/prims/1234361157

A Prime-to-<em>p</em> Version of Grothendieck’s Anabelian Conjecture for Hyperbolic Curves over Finite Fields of Characteristic <em>p</em> > 0

  • Mohamed Saïdi

    University of Exeter, United Kingdom
  • Akio Tamagawa

    Kyoto University, Japan
A Prime-to-<em>p</em> Version of Grothendieck’s Anabelian Conjecture for Hyperbolic Curves over Finite Fields of Characteristic <em>p</em> > 0 cover

Abstract

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.