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math.NT2024
The asymptotic distribution of Elkies primes for reductions of abelian varieties is Gaussian
Alexandre Benoist, Jean Kieffer
We generalize the notion of Elkies primes for elliptic curves to the setting of abelian varieties with real multiplication (RM), and prove the following. Let be an abelian vari…
math.NT2024
Spanning isogeny classes of principally polarized abelian surfaces with RM
Jean Kieffer
We describe how isogenies between principally polarized abelian surfaces (PPAS) with real multiplication (RM) can be decomposed into elementary isogeny types. This leads to a strat…