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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Analogue of the degree conjecture over function fields
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by Mihran Papikian PDF
Trans. Amer. Math. Soc. 359 (2007), 3483-3503 Request permission

Abstract:

Under a certain assumption, similar to Manin’s conjecture, we prove an upper bound on the degree of modular parametrizations of elliptic curves by Drinfeld modular curves, which is the function field analogue of the conjectured bound over the rational numbers.
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Additional Information
  • Mihran Papikian
  • Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305
  • MR Author ID: 683851
  • Email: papikian@math.stanford.edu
  • Received by editor(s): October 27, 2004
  • Received by editor(s) in revised form: July 26, 2005
  • Published electronically: February 13, 2007
  • Additional Notes: This research was supported by a fellowship from the European Postdoctoral Institute
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 3483-3503
  • MSC (2000): Primary 11G05; Secondary 11G18
  • DOI: https://doi.org/10.1090/S0002-9947-07-04147-5
  • MathSciNet review: 2299464