Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Variation of fundamental groups of curves in positive characteristic


Authors: Mohamed Saïdi and Akio Tamagawa
Journal: J. Algebraic Geom. 26 (2017), 1-16
DOI: https://doi.org/10.1090/jag/665
Published electronically: May 18, 2016
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Abstract | References | Additional Information

Abstract: In this paper we prove that given a non-isotrivial family of hyperbolic curves in positive characteristic, the isomorphism type of the geometric fundamental group is not constant on the fibres of the family.


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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/665
Received by editor(s): August 30, 2013
Published electronically: May 18, 2016
Article copyright: © Copyright 2016 University Press, Inc.

American Mathematical Society