On the number of points on abelian and Jacobian varieties over finite fields

Yves Aubry; Safia Haloui; Gilles Lachaud

doi:10.4064/aa160-3-1

On the number of points on abelian and Jacobian varieties over finite fields

Yves Aubry
, Safia Haloui
, Gilles Lachaud

Department of Applied Mathematics and Computer Science

Aix-Marseille Université

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We give upper and lower bounds for the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces.

Original language	English
Journal	Acta Arithmetica
Volume	160
Issue number	3
Pages (from-to)	201-241
ISSN	0065-1036
DOIs	https://doi.org/10.4064/aa160-3-1
Publication status	Published - 2013

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On the number of points on abelian and Jacobian varieties over finite fields

Abstract

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