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math.NT2012★ 1 cited
Rational points on curves over function fields
Amilcar Pacheco, Fabien Pazuki
We provide in this paper an upper bound for the number of rational points on a curve defined over a one variable function field over a finite field. The bound only depends on the c…
math.NT2012
Décompositions en hauteurs locales
Fabien Pazuki
Let A be the jacobian variety of a hyperelliptic curve defined over a number field k. We provide a decomposition formula for the Faltings height of A and for the Néron-Tate height…