Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

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


Authors: Mohamed Saïdi and Akio Tamagawa
Journal: J. Algebraic Geom. 27 (2018), 383-448
DOI: https://doi.org/10.1090/jag/708
Published electronically: March 29, 2018
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Abstract | References | Additional Information

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.


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Additional Information

Mohamed Saïdi
Affiliation: College of Engineering, Mathematics, and Physical Sciences, University of Exeter, Harrison Building, North Park Road, Exeter EX4 4QF, United Kingdom
Email: M.Saidi@exeter.ac.uk

Akio Tamagawa
Affiliation: Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
Email: tamagawa@kurims.kyoto-u.ac.jp

DOI: https://doi.org/10.1090/jag/708
Received by editor(s): November 19, 2014
Received by editor(s) in revised form: December 13, 2014
Published electronically: March 29, 2018
Article copyright: © Copyright 2018 University Press, Inc.

American Mathematical Society