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arXiv · alg-geom/9505038

Uniformity of stably integral points on elliptic curves

Dan Abramovich
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Abstract

A common practice in arithmetic geometry is that of generalizing rational points on projective varieties to integral points on quasi-projective varieties. Following this practice, we demonstrate an analogue of a result of L. Caporaso, J. Harris and B. Mazur, showing that the Lang - Vojta conjecture implies a uniform bound on the number of stably integral points on an elliptic curve over a number field, as well as the uniform boundedness conjecture (Merel's theorem).

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Dan Abramovich. 1995-06-01. Uniformity of stably integral points on elliptic curves. https://arxiv.org/abs/alg-geom/9505038

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