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

Abstract

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.

arXiv comment55 pages, to appear in Journal of Algebraic Geometry. arXiv admin note: text overlap with arXiv:0801.1452