was proven by Zhang using equidistribution too.

An alternative proof of the Bogomolov conjecture for subvarieties was obtained by Sinnou David and Patrice Philippon using techniques from diophantine approximation and transcendental number theory. Their approach is quantitative in nature, yielding an explicit together with an upper bound for the degree of a subvariety containing all points of height at most .

Geometric Bogomolov conjecture

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