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Revêtements des courbes en caractéristique p>0 et ordinarité

Published online by Cambridge University Press:  04 December 2007

Michel Raynaud
Michel Raynaud
Affiliation:
Université de Paris-Sud, Mathématique, bât. 425, URAD0752 du CNRS, 91405 Orsay Cedex, France. E-mail: [email protected]
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Abstract

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Let X be a proper, smooth, connected curve, defined over an algebraically closed field of characteristic p>0 and of genus g ≥ 2. We show that there exists a finite solvable group G, of order prime to p, and a Galois étale cover Y → X, with Galois group G, which is not ordinary.

Keywords

algebraic curves in characteristic p>0theta divisorrepresentations of finite nilpotent groups
Type
Research Article
Information
Compositio Mathematica , Volume 123 , Issue 1 , August 2000 , pp. 73 - 88
Copyright
© 2000 Kluwer Academic Publishers