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Mar 6, 2013 at 21:00 comment added James Weigandt Thanks to Joe Silverman and the OP for correcting my ignorance. I wish there was a way to mark your own comment as "I'm wrong! Keep reading."
Mar 6, 2013 at 0:53 vote accept Vesselin Dimitrov
Mar 6, 2013 at 0:39 answer added Joe Silverman timeline score: 3
Mar 6, 2013 at 0:01 comment added Vesselin Dimitrov @ACL: Thanks! I knew about that paper, but I had not looked at it, so I didn't know this question was formulated as a conjecture there. It seems as if there has been no progress on this problem for $r > 1$?
Mar 5, 2013 at 23:28 comment added ACL You probably know about the paper by David and Hindry (Crelle, 2000), Minoration de la hauteur de Néron-Tate sur les variétés abéliennes de type CM.
Mar 5, 2013 at 23:07 history edited Vesselin Dimitrov CC BY-SA 3.0
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Mar 5, 2013 at 21:14 comment added Vesselin Dimitrov Lang's conjecture demands a uniform $c$, independent of $E$. Here I ask for a $c$ depending on both $E$ and $r$.
Mar 5, 2013 at 20:29 comment added James Weigandt If d = r = 1 this looks like Lang's height conjecture. Which I'll say is open, but would follow from the ABC conjecture by the work of Hindry and Silverman.
Mar 5, 2013 at 19:00 history asked Vesselin Dimitrov CC BY-SA 3.0