Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

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

Author: Aaron Levin
Journal: Proc. Amer. Math. Soc. 140 (2012), 2267-2277
MSC (2010): Primary 11J97; Secondary 11J25
Posted: November 1, 2011
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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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