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Comptes Rendus Mathématique
Volume 355, n° 2
pages 205-210 (février 2017)
Doi : 10.1016/j.crma.2017.01.003
Received : 30 August 2015 ;  accepted : 5 January 2017
Uniform bound for the effective Bogomolov conjecture
Borne uniforme pour la conjecture effective de Bogomolov

Xiao-Lei Liu a , Sheng-Li Tan b
a School of Mathematical Sciences, Dalian University of Technology, Dalian, PR China 
b Department of Mathematics, East China Normal University, Shanghai, PR China 


We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as   as g tends to infinity.

The full text of this article is available in PDF format.

On obtient une borne uniforme de la conjecture effective de Bogomolov, qui ne dépend que du genre g de la courbe. Cette borne croît comme   lorsque g tend vers l'infini.

The full text of this article is available in PDF format.

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