Independence of CM points in elliptic curves
We prove a result which describes, for each n≥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--Kühne and Buium...
Main Authors: | , |
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Format: | Working paper |
Language: | English |
Published: |
University of Oxford
2020
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Summary: | We prove a result which describes, for each n≥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--Kühne and Buium-Poonen. |
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