Working paper

Independence of CM points in elliptic curves

Abstract:: 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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APA Style

Pila, J., & Tsimerman, J. (2020). Independence of CM points in elliptic curves. University of Oxford.

MLA Style

Pila, J., and J. Tsimerman. Independence of CM Points in Elliptic Curves. University of Oxford, 2020.

Chicago Style

Pila, J, and J Tsimerman. 2020. “Independence of CM Points in Elliptic Curves.” University of Oxford.
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Files:: 1907.02737.pdf

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Authors

+ Pila, J More by this author

Institution:: University of Oxford
Department:: MATHEMATICAL INSTITUTE
Sub department:: Mathematical Institute
Role:: Author
ORCID:: 0000-0003-3958-2338

+ Tsimerman, J More by this author

Role:: Author

+ Engineering and Physical Sciences Research Council More from this funder

Grant:: EP/N008359/1

Publisher:: University of Oxford
Publication date:: 2020-12-16

Language:: English
Keywords:: FFR
Pubs id:: 1133733
Local pid:: pubs:1133733
Deposit date:: 2020-12-16

Terms of use

Copyright holder:: Pila and Tsimerman
Copyright date:: 2020
Rights statement:: Copyright 2020 the Authors

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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