Displaying similar documents to “Finiteness theorems for torsion of abelian varieties over large algebraic fields”

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

Yves Aubry, Safia Haloui, Gilles Lachaud (2013)

Acta Arithmetica

Similarity:

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.

On a theorem of Tate

Fedor Bogomolov, Yuri Tschinkel (2008)

Open Mathematics

Similarity:

We study applications of divisibility properties of recurrence sequences to Tate’s theory of abelian varieties over finite fields.