On the number of points on abelian and Jacobian varieties over finite fields
Yves Aubry ; Safia Haloui ; Gilles Lachaud
Acta Arithmetica, Tome 161 (2013), p. 201-241 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279291 
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     title = {On the number of points on abelian and Jacobian varieties over finite fields},
     journal = {Acta Arithmetica},
     volume = {161},
     year = {2013},
     pages = {201-241},
     zbl = {1288.11061},
     language = {en},
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Yves Aubry; Safia Haloui; Gilles Lachaud. On the number of points on abelian and Jacobian varieties over finite fields. Acta Arithmetica, Tome 161 (2013) pp. 201-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa160-3-1/