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

Yves Aubry, Safia Haloui, and Gilles Lachaud. "On the number of points on abelian and Jacobian varieties over finite fields." Acta Arithmetica 160.3 (2013): 201-241. <http://eudml.org/doc/279291>.

@article{YvesAubry2013,
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.},
author = {Yves Aubry, Safia Haloui, Gilles Lachaud},
journal = {Acta Arithmetica},
keywords = {Abelian varieties over finite fields; Jacobian; curves over finite fields; zeta function},
language = {eng},
number = {3},
pages = {201-241},
title = {On the number of points on abelian and Jacobian varieties over finite fields},
url = {http://eudml.org/doc/279291},
volume = {160},
year = {2013},
}

TY - JOUR
AU - Yves Aubry
AU - Safia Haloui
AU - Gilles Lachaud
TI - On the number of points on abelian and Jacobian varieties over finite fields
JO - Acta Arithmetica
PY - 2013
VL - 160
IS - 3
SP - 201
EP - 241
AB - 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.
LA - eng
KW - Abelian varieties over finite fields; Jacobian; curves over finite fields; zeta function
UR - http://eudml.org/doc/279291
ER -