22 citations · 51 across the 14 of their papers we have counts for
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math.NT2009★ 1 cited
Zhang's conjecture and squares of abelian surfaces
F. Pazuki
We give in this paper some squares of abelian surfaces that are counterexamples to a conjecture formulated by Zhang about the intersection of subvarieties and preperiodic points.
math.NT2009
Theta height and Faltings height
F. Pazuki
Using original ideas from J.-B. Bost and S. David, we provide an explicit comparison between the Theta height and the stable Faltings height of a principally polarized abelian vari…
math.NT2009★ 22 cited
Elementary 3-descent with a 3-isogeny
Henri Cohen, Fabien Pazuki
In this expository paper, we show how to use in practice 3-descent with a 3-isogeny to find an estimate for the rank of an elliptic curve having a rational 3-torsion subgroup, and…