22 citations · 51 across the 14 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.NT2015
Bornes sur le nombre de points rationnels des courbes -- en quete d'uniformite
Fabien Pazuki
The aim of this paper is to show how a conjectural lower bound on the canonical height function in the spirit of Lang and Silverman leads to an explicit uniform bound on the number…
math.NT2015★ 7 cited
Bad reduction of genus curves with CM jacobian varieties
Philipp Habegger, Fabien Pazuki
We show that a genus curve over a number field whose jacobian has complex multiplication will usually have stable bad reduction at some prime. We prove this by computing the Fa…
math.NT2015★ 3 cited
Heights, ranks and regulators of abelian varieties
Fabien Pazuki
We lower bound the Faltings height of an abelian variety over a number field by the sum of its injectivity diameter and the norm of its bad reduction primes. It leads to an uncondi…