Lang’s height conjecture and Szpiro’s conjecture
نویسندگان
چکیده
It is known that Szpiro’s conjecture, or equivalently the ABC-conjecture, implies Lang’s conjecture giving a uniform lower bound for the canonical height of nontorsion points on elliptic curves. In this note we show that a significantly weaker version of Szpiro’s conjecture, which we call “prime-depleted,” suffices to prove Lang’s conjecture.
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