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ON THE NUMBER OF RATIONAL POINTS ON PRYM VARIETIES OVER FINITE FIELDS

Part of: Arithmetic algebraic geometry Abelian varieties and schemes Curves Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  21 July 2015

YVES AUBRY  and
SAFIA HALOUI
YVES AUBRY
Affiliation:
Institut de Mathématiques de Toulon, Université de Toulon, 83 957 La Garde, France and Institut de Mathématiques de Marseille, Aix-Marseille Université, 13 288 Marseille, France e-mail: yves.aubry@univ-tln.fr
SAFIA HALOUI
Affiliation:
Department of Mathematics, Technical University of Denmark, Lyngby, Denmark e-mail: s.haloui@mat.dtu.dk
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Abstract

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We give upper and lower bounds for the number of rational points on Prym varieties over finite fields. Moreover, we determine the exact maximum and minimum number of rational points on Prym varieties of dimension 2.

MSC classification

Primary: 14H40: Jacobians, Prym varieties
Secondary: 14G15: Finite ground fields 14K15: Arithmetic ground fields 11G10: Abelian varieties of dimension $> 1$ 11G25: Varieties over finite and local fields
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 1 , January 2016 , pp. 55 - 68
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

References

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