On the independence of Heegner points on CM elliptic curves associated to distinct quadratic imaginary fields
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- by Hatice Şahinoğlu PDF
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Abstract:
In this paper we give a sufficient condition on the class numbers of distinct quadratic imaginary fields so that on a given CM elliptic curve over $\mathbb {Q}$ with fixed modular parameterization, the Heegner points associated to (the maximal orders of) these quadratic imaginary fields are linearly independent. This extends results of Rosen and Silverman from the non-CM to the CM case.References
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Additional Information
- Hatice Şahinoğlu
- Affiliation: Department of Mathematics, Brown University, 151 Thayer Street, Box 1917, Providence, Rhode Island 02912
- Received by editor(s): March 9, 2011
- Received by editor(s) in revised form: March 10, 2011, June 27, 2011, and July 22, 2011
- Published electronically: July 19, 2012
- Communicated by: Matthew A. Papanikolas
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 813-826
- MSC (2010): Primary 11G05; Secondary 11R37, 14H25
- DOI: https://doi.org/10.1090/S0002-9939-2012-11389-9
- MathSciNet review: 3003675