JournalsprimsVol. 45, No. 1pp. 135–186

A Prime-to- Version of Grothendieck’s Anabelian Conjecture for Hyperbolic Curves over Finite Fields of Characteristic

  • Mohamed Saïdi

    University of Exeter, United Kingdom

  • Akio Tamagawa

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

In this paper, we prove a prime-to- version of Grothendieck’s anabelian conjecture for hyperbolic curves over finite fields of characteristic , whose original (full profinite) version was proved by Tamagawa in the affine case and by Mochizuki in the proper case.

Cite this article

Mohamed Saïdi, Akio Tamagawa, A Prime-to- Version of Grothendieck’s Anabelian Conjecture for Hyperbolic Curves over Finite Fields of Characteristic . Publ. Res. Inst. Math. Sci. 45 (2009), no. 1, pp. 135–186

DOI 10.2977/PRIMS/1234361157