The exceptional set in Vojta’s conjecture for algebraic points of bounded degree

Levin, Aaron

doi:10.1090/S0002-9939-2011-11147-X

The exceptional set in Vojta’s conjecture for algebraic points of bounded degree
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Proc. Amer. Math. Soc. 140 (2012), 2267-2277 Request permission

Abstract:

We study the dependence on various parameters of the exceptional set in Vojta’s conjecture. In particular, by making use of certain elliptic surfaces, we answer in the negative the often-raised question of whether Vojta’s conjecture holds when extended to all algebraic points (that is, if the conjecture holds without fixing a bound on the degree of the algebraic points).

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