Comptes Rendus
no. 2
Algebraic geometry
Uniform bound for the effective Bogomolov conjecture

Presented by: Claire Voisin

Xiao-Lei Liu1; Sheng-Li Tan2
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, Volume 355 (2017) no. 2, pp. 205-210.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2017.01.003

Xiao-Lei Liu 1; Sheng-Li Tan 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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Xiao-Lei Liu; Sheng-Li Tan. Uniform bound for the effective Bogomolov conjecture. Comptes Rendus. Mathématique, Volume 355 (2017) no. 2, pp. 205-210. doi : 10.1016/j.crma.2017.01.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.01.003/

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