Journal article

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–K¨uhne and Buium-Poonen.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Pila, J., & Tsimerman, J. (2021). Independence of CM points in elliptic curves. Journal of the European Mathematical Society, 24(9), 3161–3182.

MLA Style

Pila, J., and J. Tsimerman. “Independence of CM Points in Elliptic Curves.” Journal of the European Mathematical Society, vol. 24, no. 9, European Mathematical Society, 2021, pp. 3161–82.

Chicago Style

Pila, J, and J Tsimerman. 2021. “Independence of CM Points in Elliptic Curves.” Journal of the European Mathematical Society 24 (9): 3161–82.
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Files:: Pila_Tsimerman_2021_independence_of_CM.pdf

(Preview, Accepted manuscript, 345.1KB, Terms of use)

Publisher copy:: 10.4171/JEMS/1161

Authors

+ Pila, J More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Tsimerman, J More by this author

Role:: Author

+ Engineering and Physical Sciences Research Council More from this funder

Grant:: EP/N008359/1

Publisher:: European Mathematical Society
Journal:: Journal of the European Mathematical Society More from this journal
Volume:: 24
Issue:: 9
Pages:: 3161–3182
Publication date:: 2021-10-19
Acceptance date:: 2020-09-22
DOI:: 10.4171/JEMS/1161
EISSN:: 1435-9863
ISSN:: 1435-9855

Language:: English
Keywords:: FFR
Pubs id:: 1149900
Local pid:: pubs:1149900
Source identifiers:: 1149900
Deposit date:: 2020-09-25

Terms of use

Copyright holder:: European Mathematical Society.
Copyright date:: 2021
Rights statement:: © 2021 European Mathematical Society. Published by EMS Press.
Notes:: This is the accepted manuscript version of the article. The final version is available online from European Mathematical Society at: https://doi.org/10.4171/jems/1161

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

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