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

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

2008-01-09

arxiv.org/abs/0801.1452v2

Mathematics

Algebraic Geometry

Scientific paper

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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