Variation of fundamental groups of curves in positive characteristic-Reference-Cited by-同舟云学术

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Variation of fundamental groups of curves in positive characteristic

Published:2016-05-18 Issue:1 Volume:26 Page:1-16
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Saïdi Mohamed,Tamagawa Akio

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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

Reference12 articles.

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2. Éléments de géométrie algébrique. III. Étude cohomologique des faisceaux cohérents. I;Grothendieck, A.;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1961

3. Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. I;Grothendieck, A.;Inst. Hautes \'{E}tudes Sci. Publ. Math.,1964

4. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)];Fried, Michael D.,1986

5. Sections des fibrés vectoriels sur une courbe;Raynaud, Michel;Bull. Soc. Math. France,1982

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Reconstruction of one-punctured elliptic curves in positive characteristic by their geometric fundamental groups;manuscripta mathematica;2019-09-20

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