Minoration de la hauteur de Néron-Tate sur les surfaces abéliennes

TY - JOUR

T1 - Minoration de la hauteur de Néron-Tate sur les surfaces abéliennes

AU - Pazuki, Mehdi Fabien

PY - 2013/9

Y1 - 2013/9

N2 - This paper contains results concerning a conjecture made by Lang and Silverman, predicting a lower bound for the canonical height on abelian varieties of dimension 2 over number fields. The method used here is a local height decomposition. We derive as corollaries uniform bounds on the number of torsion points on families of abelian surfaces and on the number of rational points on families of genus 2 curves.

AB - This paper contains results concerning a conjecture made by Lang and Silverman, predicting a lower bound for the canonical height on abelian varieties of dimension 2 over number fields. The method used here is a local height decomposition. We derive as corollaries uniform bounds on the number of torsion points on families of abelian surfaces and on the number of rational points on families of genus 2 curves.

U2 - 10.1007/s00229-012-0593-7

DO - 10.1007/s00229-012-0593-7

M3 - Journal article

SN - 0025-2611

VL - 142

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

M1 - 61-99

ER -