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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Intersecting curves and algebraic subgroups: Conjectures and more results
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by E. Bombieri, D. Masser and U. Zannier PDF
Trans. Amer. Math. Soc. 358 (2006), 2247-2257 Request permission

Abstract:

This paper solves in the affirmative, up to dimension $n=5$, a question raised in an earlier paper by the authors. The equivalence of the problem with a conjecture of Shou-Wu Zhang is proved in the Appendix.
References
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Additional Information
  • E. Bombieri
  • Affiliation: School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
  • Email: eb@math.ias.edu
  • D. Masser
  • Affiliation: Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland
  • MR Author ID: 121080
  • Email: masser@math.unibas.ch
  • U. Zannier
  • Affiliation: Scuola Normale Superiore, Piazza dei Cavalieri, 56100 Pisa, Italy
  • MR Author ID: 186540
  • Email: u.zannier@sns.it
  • Received by editor(s): February 2, 2004
  • Received by editor(s) in revised form: July 14, 2004
  • Published electronically: October 31, 2005
  • © Copyright 2005 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 358 (2006), 2247-2257
  • MSC (2000): Primary 11J95; Secondary 11G30, 11G50
  • DOI: https://doi.org/10.1090/S0002-9947-05-03810-9
  • MathSciNet review: 2197442