Aaron Levin
Published 2010-11-30Version 1
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).
Integral points of bounded degree on the projective line and in dynamical orbits
On Davenport-Stothers inequalities and elliptic surfaces in positive characteristic
Bounds on the exceptional set in the $abc$ conjecture
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