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
MathSciNet review:
3570581
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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.
References
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References
- Siegfried Bosch, Werner Lütkebohmert, and Michel Raynaud, Néron models, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 21, Springer-Verlag, Berlin, 1990. MR 1045822 (91i:14034)
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- Akio Tamagawa, On the fundamental groups of curves over algebraically closed fields of characteristic $>0$, Int. Math. Res. Notices 16 (1999), 853–873. MR 1715523 (2001h:14027), DOI https://doi.org/10.1155/S1073792899000446
- Akio Tamagawa, On the tame fundamental groups of curves over algebraically closed fields of characteristic $>0$, Galois groups and fundamental groups, Math. Sci. Res. Inst. Publ., vol. 41, Cambridge Univ. Press, Cambridge, 2003, pp. 47–105. MR 2012213 (2004j:14023)
- Akio Tamagawa, Finiteness of isomorphism classes of curves in positive characteristic with prescribed fundamental groups, J. Algebraic Geom. 13 (2004), no. 4, 675–724. MR 2073193 (2005c:14032), DOI https://doi.org/10.1090/S1056-3911-04-00376-5
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
MR Author ID:
362316
Email:
tamagawa@kurims.kyoto-u.ac.jp
Received by editor(s):
August 30, 2013
Published electronically:
May 18, 2016
Article copyright:
© Copyright 2016
University Press, Inc.
