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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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CM points on products of Drinfeld modular curves
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by Florian Breuer PDF
Trans. Amer. Math. Soc. 359 (2007), 1351-1374 Request permission

Abstract:

Let $X$ be a product of Drinfeld modular curves over a general base ring $A$ of odd characteristic. We classify those subvarieties of $X$ which contain a Zariski-dense subset of CM points. This is an analogue of the André-Oort conjecture. As an application, we construct non-trivial families of higher Heegner points on modular elliptic curves over global function fields.
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Additional Information
  • Florian Breuer
  • Affiliation: Department of Mathematical Sciences, University of Stellenbosch, Stellenbosch, 7600, South Africa
  • MR Author ID: 631084
  • ORCID: 0000-0001-5888-7685
  • Email: fbreuer@sun.ac.za
  • Received by editor(s): September 20, 2004
  • Received by editor(s) in revised form: March 1, 2005
  • Published electronically: September 19, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 1351-1374
  • MSC (2000): Primary 11G09; Secondary 14G35
  • DOI: https://doi.org/10.1090/S0002-9947-06-04109-2
  • MathSciNet review: 2262854