CNRS Poncelet

Conférence "Zeta Functions"

21 - 25 juin 2010

Moscou, Russie

RAS Poncelet

Organisateurs: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institut des Problèmes de Transmission de l'Information), Alexey Zykin (Laboratoire Poncelet, Haute Ecole d'Economie)

English Russian

The groups of points on abelian surfaces over finite fields

Sergey Rybakov (Moscou)

Vendredi 25 juin, 16:30 - 17:30

Résumé

Let A be an abelian surface over a finite field k. The k-isogeny class of A is uniquely determined by a Weil polynomial f_A of degree 4. We give a classification of the groups of k-rational points on varieties from this class in terms of Newton polygons of f_A(1-t).

Laboratoire Poncelet