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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A smooth counterexample to Nori's conjecture on the fundamental group scheme


Author: Christian Pauly
Journal: Proc. Amer. Math. Soc. 135 (2007), 2707-2711
MSC (2000): Primary 14H60, 14D20; Secondary 14H30
Published electronically: May 2, 2007
MathSciNet review: 2317943
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Abstract: We show that Nori's fundamental group scheme $ \pi(X,x)$ does not base change correctly under extension of the base field for certain smooth projective ordinary curves $ X$ of genus $ 2$ defined over a field of characteristic $ 2$.


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Additional Information

Christian Pauly
Affiliation: Département de Mathématiques, Université de Montpellier II - Case Courrier 051, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France
Email: pauly@math.univ-montp2.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08805-3
PII: S 0002-9939(07)08805-3
Received by editor(s): January 10, 2006
Received by editor(s) in revised form: May 18, 2006
Published electronically: May 2, 2007
Communicated by: Ted Chinburg
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.