We show that a conjecture by Lang and Vojta regarding integral points on varieties of logarithmic general type implies the existence of a uniform bound on the number of stably S-integral points on an elliptic curve over a degree-d number field.
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UNIV LONDON GOLDSMITHS COLL, DEPT MATH & COMP SCI, LONDON SE14 6NW, ENGLANDUNIV LONDON GOLDSMITHS COLL, DEPT MATH & COMP SCI, LONDON SE14 6NW, ENGLAND
Smart, NP
Stephens, NM
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UNIV LONDON GOLDSMITHS COLL, DEPT MATH & COMP SCI, LONDON SE14 6NW, ENGLANDUNIV LONDON GOLDSMITHS COLL, DEPT MATH & COMP SCI, LONDON SE14 6NW, ENGLAND