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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Uniform bounds for stably integral points on elliptic curves
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by Patricia L. Pacelli PDF
Proc. Amer. Math. Soc. 127 (1999), 2535-2546 Request permission

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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Additional Information
  • Patricia L. Pacelli
  • Affiliation: Department of Mathematics, Barnard College, Columbia University, New York, New York 10027-6598
  • Email: pacelli@math.columbia.edu
  • Received by editor(s): September 2, 1997
  • Published electronically: May 19, 1999
  • Additional Notes: It is a pleasure to thank Dan Abramovich and Glenn Stevens for encouraging me to pursue this work. Dan Abramovich was also kind enough to read earlier versions of this paper and provide extremely helpful comments
  • Communicated by: Ron Donagi
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2535-2546
  • MSC (1991): Primary 11Gxx, 14Gxx
  • DOI: https://doi.org/10.1090/S0002-9939-99-05429-5
  • MathSciNet review: 1676288