Uniform bounds for stably integral points on elliptic curves

Pacelli, Patricia

doi:10.1090/S0002-9939-99-05429-5

Uniform bounds for stably integral points on elliptic curves
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by Patricia L. Pacelli

Proc. Amer. Math. Soc. 127 (1999), 2535-2546

DOI: https://doi.org/10.1090/S0002-9939-99-05429-5

Published electronically: May 19, 1999

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Abstract:

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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