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arXiv · 1111.1189

On the independence of Heegner points associated to distinct quadratic imaginary fields on CM elliptic curves

Hatice Sahinoglu
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Abstract

This paper is complementary to the work Rosen-Silverman, which derives a criteria on the number fields for the independence of Heegner points associated to them on non-CM elliptic curves. We show that the same criteria holds for CM elliptic curves. A generalisation of the independence criteria for the Heegner points associated to an order of fixed conductor of quadratic imaginary fields can also be found in this paper.

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Hatice Sahinoglu. 2011-11-04. On the independence of Heegner points associated to distinct quadratic imaginary fields on CM elliptic curves. https://arxiv.org/abs/1111.1189

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