Independence of CM points in Elliptic Curves

Jonathan Pila; Jacob Tsimerman

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arXiv · 1907.02737

Independence of CM points in Elliptic Curves

Jonathan Pila·Jacob Tsimerman

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Abstract

We prove a result which describes, for each $n\ge 1$, all linear dependencies among $n$ images in elliptic curves of special points in modular or Shimura curves under parameterizations (or correspondences). Our result unifies and improves in certain aspects previous work of Rosen-Silverman--K\"uhne and Buium-Poonen.

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Jonathan Pila, Jacob Tsimerman. 2019-07-05. Independence of CM points in Elliptic Curves. https://arxiv.org/abs/1907.02737

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