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

• Autorzy: Yves Aubry , Safia Haloui , Gilles Lachaud
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11G10: Abelian varieties of dimension > 1
• 11G20: Curves over finite and local fields
• 11G25: Varieties over finite and local fields
• 14G15: Finite ground fields
• 14G10: Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 160
• Numer: 3
• Strony: 201-241

Daty

wydano

2013

Twórcy

autor

Yves Aubry

• Institut de Mathématiques de Luminy, Aix-Marseille Université
• Institut de Mathématiques de Toulon, Université du Sud Toulon-Var, France

autor

Safia Haloui

• Department of Mathematics, Technical University of Denmark, Lyngby, Denmark

autor

Gilles Lachaud

• Institut de Mathématiques de Luminy, Aix-Marseille Université/CNRS, France

Identyfikatory

DOI

10.4064/aa160-3-1