no. 2
Algebraic geometry
Uniform bound for the effective Bogomolov conjecture
[Borne uniforme pour la conjecture effective de Bogomolov]

Présenté par : Claire Voisin

Liu, Xiao-Lei1 ; Tan, Sheng-Li2
1 School of Mathematical Sciences, Dalian University of Technology, Dalian, PR China
2 Department of Mathematics, East China Normal University, Shanghai, PR China
Comptes Rendus. Mathématique, Tome 355 (2017) no. 2, pp. 205-210.

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 O(g−3) lorsque g tend vers l'infini.

We obtain a uniform bound for the effective Bogomolov conjecture, which depends only on the genus g of the curve. The bound grows as O(g−3) as g tends to infinity.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.01.003
Liu, Xiao-Lei 1 ; Tan, Sheng-Li 2

1 School of Mathematical Sciences, Dalian University of Technology, Dalian, PR China
2 Department of Mathematics, East China Normal University, Shanghai, PR China 
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Liu, Xiao-Lei; Tan, Sheng-Li. Uniform bound for the effective Bogomolov conjecture. Comptes Rendus. Mathématique, Tome 355 (2017) no. 2, pp. 205-210. doi : 10.1016/j.crma.2017.01.003. http://www.numdam.org/articles/10.1016/j.crma.2017.01.003/

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