| Robert Carls |
 |
 |
Date de l'exposé : 30 juin 2006
Explicit higher dimensional 3-adic canonical lifting
Our talk is about joint work with D. Kohel and D. Lubicz. We prove
equations having as solutions the theta null points of canonical lifts of
ordinary abelian varieties over finite fields of characteristic 3. We
describe an algorithm for 3-adic canonical lifting of ordinary abelian
surfaces based on our formulas. The algorithm has been implemented in
MAGMA. Examples of canonically lifted theta null points are given whose
coordinates generate the ray class field modulo 2 of the reflex field of
the endomorphism algebra.
