I want to know the accurate version of the Vojta's conjecture on the bounded degree algebraic points over projective line, which is known as an extension of the Roth's theorem for bounded degree algebraic numbers. I found this statement in Vojta's lecture note in 2009, section 5: "Roth’stheorem, however, does notextend in this manner, and questions of extending Roth’s theorem even to algebraic numbers of bounded degree are quite deep and unresolved."
Vojta's conjecture on the bounded degree algebraic points over projective line?
Sajad Salami
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