A Prime-to- Version of Grothendieck’s Anabelian Conjecture for Hyperbolic Curves over Finite Fields of Characteristic
Mohamed Saïdi
University of Exeter, United KingdomAkio 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](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-45-issue-1.png&w=3840&q=90)
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