Uniformity of stably integral points on elliptic curves
Abstract
Description
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).
10 pages. Postscript file available at http://math.bu.edu/INDIVIDUAL/abrmovic/integral.ps, AMSLaTeX
10 pages. Postscript file available at http://math.bu.edu/INDIVIDUAL/abrmovic/integral.ps, AMSLaTeX