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 |
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University of Oxford
2020
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| _version_ | 1797076155198603264 |
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| author | Pila, J Tsimerman, J |
| author_facet | Pila, J Tsimerman, J |
| author_sort | Pila, J |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T00:00:10Z |
| format | Working paper |
| id | oxford-uuid:75a92861-c574-47dd-89a0-5d0b1ec497aa |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:00:10Z |
| publishDate | 2020 |
| publisher | University of Oxford |
| record_format | dspace |
| spelling | oxford-uuid:75a92861-c574-47dd-89a0-5d0b1ec497aa2022-03-26T20:10:48ZIndependence of CM points in elliptic curvesWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:75a92861-c574-47dd-89a0-5d0b1ec497aaEnglishSymplectic ElementsUniversity of Oxford2020Pila, JTsimerman, JWe 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. |
| spellingShingle | Pila, J Tsimerman, J Independence of CM points in elliptic curves |
| title | Independence of CM points in elliptic curves |
| title_full | Independence of CM points in elliptic curves |
| title_fullStr | Independence of CM points in elliptic curves |
| title_full_unstemmed | Independence of CM points in elliptic curves |
| title_short | Independence of CM points in elliptic curves |
| title_sort | independence of cm points in elliptic curves |
| work_keys_str_mv | AT pilaj independenceofcmpointsinellipticcurves AT tsimermanj independenceofcmpointsinellipticcurves |